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Finding the Fourth Proportional to 15,139.75, 22,710.46 and 5,780.53

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Solution

The fourth proportional to 15,139.75, 22,710.46 and 5,780.53 is: 8,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,139.75 : 22,710.46 = 5,780.53 : x
  2. Step 2: Convert to fraction form
    15,139.75/22,710.46 = 5,780.53/x
  3. Step 3: Cross multiply
    15,139.75x = 22,710.46 × 5,780.53
  4. Step 4: Simplify right side
    15,139.75x = 131,278,495.34
  5. Step 5: Solve for x
    x = 131,278,495.34/15,139.75
  6. Step 6: Final answer
    x = 8,671.11

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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.