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Finding the Fourth Proportional to 29,856.52, 41,202.98 and 16,428.75

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Solution

The fourth proportional to 29,856.52, 41,202.98 and 16,428.75 is: 22,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856.52 : 41,202.98 = 16,428.75 : x
  2. Step 2: Convert to fraction form
    29,856.52/41,202.98 = 16,428.75/x
  3. Step 3: Cross multiply
    29,856.52x = 41,202.98 × 16,428.75
  4. Step 4: Simplify right side
    29,856.52x = 676,913,457.68
  5. Step 5: Solve for x
    x = 676,913,457.68/29,856.52
  6. Step 6: Final answer
    x = 22,672.22

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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.