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Finding the Fourth Proportional to 12,767.52, 19,065.19 and 10,432.12

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Solution

The fourth proportional to 12,767.52, 19,065.19 and 10,432.12 is: 15,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.52 : 19,065.19 = 10,432.12 : x
  2. Step 2: Convert to fraction form
    12,767.52/19,065.19 = 10,432.12/x
  3. Step 3: Cross multiply
    12,767.52x = 19,065.19 × 10,432.12
  4. Step 4: Simplify right side
    12,767.52x = 198,890,349.90
  5. Step 5: Solve for x
    x = 198,890,349.90/12,767.52
  6. Step 6: Final answer
    x = 15,577.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.