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Finding the Fourth Proportional to 20,657.40, 31,006.44 and 14,740.80

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Solution

The fourth proportional to 20,657.40, 31,006.44 and 14,740.80 is: 22,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.40 : 31,006.44 = 14,740.80 : x
  2. Step 2: Convert to fraction form
    20,657.40/31,006.44 = 14,740.80/x
  3. Step 3: Cross multiply
    20,657.40x = 31,006.44 × 14,740.80
  4. Step 4: Simplify right side
    20,657.40x = 457,059,730.75
  5. Step 5: Solve for x
    x = 457,059,730.75/20,657.40
  6. Step 6: Final answer
    x = 22,125.71

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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.