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Finding the Fourth Proportional to 20,470.66, 30,677.13 and 16,292.07

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Solution

The fourth proportional to 20,470.66, 30,677.13 and 16,292.07 is: 24,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.66 : 30,677.13 = 16,292.07 : x
  2. Step 2: Convert to fraction form
    20,470.66/30,677.13 = 16,292.07/x
  3. Step 3: Cross multiply
    20,470.66x = 30,677.13 × 16,292.07
  4. Step 4: Simplify right side
    20,470.66x = 499,793,949.36
  5. Step 5: Solve for x
    x = 499,793,949.36/20,470.66
  6. Step 6: Final answer
    x = 24,415.14

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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.