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Finding the Fourth Proportional to 29,645.72, 40,909.54 and 16,214.36

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Solution

The fourth proportional to 29,645.72, 40,909.54 and 16,214.36 is: 22,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,645.72 : 40,909.54 = 16,214.36 : x
  2. Step 2: Convert to fraction form
    29,645.72/40,909.54 = 16,214.36/x
  3. Step 3: Cross multiply
    29,645.72x = 40,909.54 × 16,214.36
  4. Step 4: Simplify right side
    29,645.72x = 663,322,008.99
  5. Step 5: Solve for x
    x = 663,322,008.99/29,645.72
  6. Step 6: Final answer
    x = 22,374.97

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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.