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Finding the Fourth Proportional to 29,656.00, 40,923.51 and 16,224.58

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Solution

The fourth proportional to 29,656.00, 40,923.51 and 16,224.58 is: 22,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,656.00 : 40,923.51 = 16,224.58 : x
  2. Step 2: Convert to fraction form
    29,656.00/40,923.51 = 16,224.58/x
  3. Step 3: Cross multiply
    29,656.00x = 40,923.51 × 16,224.58
  4. Step 4: Simplify right side
    29,656.00x = 663,966,557.26
  5. Step 5: Solve for x
    x = 663,966,557.26/29,656.00
  6. Step 6: Final answer
    x = 22,388.95

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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.