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Finding the Fourth Proportional to 29,224.31, 40,332.26 and 16,646.63

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Solution

The fourth proportional to 29,224.31, 40,332.26 and 16,646.63 is: 22,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,224.31 : 40,332.26 = 16,646.63 : x
  2. Step 2: Convert to fraction form
    29,224.31/40,332.26 = 16,646.63/x
  3. Step 3: Cross multiply
    29,224.31x = 40,332.26 × 16,646.63
  4. Step 4: Simplify right side
    29,224.31x = 671,396,049.24
  5. Step 5: Solve for x
    x = 671,396,049.24/29,224.31
  6. Step 6: Final answer
    x = 22,973.89

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