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Finding the Fourth Proportional to 38,614.30, 57,921.45 and 16,428.40

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Solution

The fourth proportional to 38,614.30, 57,921.45 and 16,428.40 is: 24,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,614.30 : 57,921.45 = 16,428.40 : x
  2. Step 2: Convert to fraction form
    38,614.30/57,921.45 = 16,428.40/x
  3. Step 3: Cross multiply
    38,614.30x = 57,921.45 × 16,428.40
  4. Step 4: Simplify right side
    38,614.30x = 951,556,749.18
  5. Step 5: Solve for x
    x = 951,556,749.18/38,614.30
  6. Step 6: Final answer
    x = 24,642.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.