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Finding the Fourth Proportional to 15,894.24, 21,934.42 and 8,820.50

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Solution

The fourth proportional to 15,894.24, 21,934.42 and 8,820.50 is: 12,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.24 : 21,934.42 = 8,820.50 : x
  2. Step 2: Convert to fraction form
    15,894.24/21,934.42 = 8,820.50/x
  3. Step 3: Cross multiply
    15,894.24x = 21,934.42 × 8,820.50
  4. Step 4: Simplify right side
    15,894.24x = 193,472,551.61
  5. Step 5: Solve for x
    x = 193,472,551.61/15,894.24
  6. Step 6: Final answer
    x = 12,172.49

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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.