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Finding the Fourth Proportional to 12,864.32, 17,755.72 and 7,560.88

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Solution

The fourth proportional to 12,864.32, 17,755.72 and 7,560.88 is: 10,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.32 : 17,755.72 = 7,560.88 : x
  2. Step 2: Convert to fraction form
    12,864.32/17,755.72 = 7,560.88/x
  3. Step 3: Cross multiply
    12,864.32x = 17,755.72 × 7,560.88
  4. Step 4: Simplify right side
    12,864.32x = 134,248,868.23
  5. Step 5: Solve for x
    x = 134,248,868.23/12,864.32
  6. Step 6: Final answer
    x = 10,435.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.