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Finding the Fourth Proportional to 20,765.70, 31,159.89 and 9,677.61

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Solution

The fourth proportional to 20,765.70, 31,159.89 and 9,677.61 is: 14,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.70 : 31,159.89 = 9,677.61 : x
  2. Step 2: Convert to fraction form
    20,765.70/31,159.89 = 9,677.61/x
  3. Step 3: Cross multiply
    20,765.70x = 31,159.89 × 9,677.61
  4. Step 4: Simplify right side
    20,765.70x = 301,553,263.06
  5. Step 5: Solve for x
    x = 301,553,263.06/20,765.70
  6. Step 6: Final answer
    x = 14,521.70

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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.