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Finding the Fourth Proportional to 20,702.34, 31,005.18 and 15,141.69

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Solution

The fourth proportional to 20,702.34, 31,005.18 and 15,141.69 is: 22,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.34 : 31,005.18 = 15,141.69 : x
  2. Step 2: Convert to fraction form
    20,702.34/31,005.18 = 15,141.69/x
  3. Step 3: Cross multiply
    20,702.34x = 31,005.18 × 15,141.69
  4. Step 4: Simplify right side
    20,702.34x = 469,470,823.95
  5. Step 5: Solve for x
    x = 469,470,823.95/20,702.34
  6. Step 6: Final answer
    x = 22,677.19

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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.