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Finding the Fourth Proportional to 22,707.60, 34,061.40 and 16,438.20

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Solution

The fourth proportional to 22,707.60, 34,061.40 and 16,438.20 is: 24,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707.60 : 34,061.40 = 16,438.20 : x
  2. Step 2: Convert to fraction form
    22,707.60/34,061.40 = 16,438.20/x
  3. Step 3: Cross multiply
    22,707.60x = 34,061.40 × 16,438.20
  4. Step 4: Simplify right side
    22,707.60x = 559,908,105.48
  5. Step 5: Solve for x
    x = 559,908,105.48/22,707.60
  6. Step 6: Final answer
    x = 24,657.30

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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.