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Finding the Fourth Proportional to 15,152.52, 22,710.96 and 6,381.84

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Solution

The fourth proportional to 15,152.52, 22,710.96 and 6,381.84 is: 9,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.52 : 22,710.96 = 6,381.84 : x
  2. Step 2: Convert to fraction form
    15,152.52/22,710.96 = 6,381.84/x
  3. Step 3: Cross multiply
    15,152.52x = 22,710.96 × 6,381.84
  4. Step 4: Simplify right side
    15,152.52x = 144,937,712.97
  5. Step 5: Solve for x
    x = 144,937,712.97/15,152.52
  6. Step 6: Final answer
    x = 9,565.25

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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.