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Finding the Fourth Proportional to 15,894.99, 21,932.19 and 9,178.20

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Solution

The fourth proportional to 15,894.99, 21,932.19 and 9,178.20 is: 12,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.99 : 21,932.19 = 9,178.20 : x
  2. Step 2: Convert to fraction form
    15,894.99/21,932.19 = 9,178.20/x
  3. Step 3: Cross multiply
    15,894.99x = 21,932.19 × 9,178.20
  4. Step 4: Simplify right side
    15,894.99x = 201,298,026.26
  5. Step 5: Solve for x
    x = 201,298,026.26/15,894.99
  6. Step 6: Final answer
    x = 12,664.24

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.