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Finding the Fourth Proportional to 15,732.96, 23,603.52 and 5,872.32

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Solution

The fourth proportional to 15,732.96, 23,603.52 and 5,872.32 is: 8,810.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.96 : 23,603.52 = 5,872.32 : x
  2. Step 2: Convert to fraction form
    15,732.96/23,603.52 = 5,872.32/x
  3. Step 3: Cross multiply
    15,732.96x = 23,603.52 × 5,872.32
  4. Step 4: Simplify right side
    15,732.96x = 138,607,422.57
  5. Step 5: Solve for x
    x = 138,607,422.57/15,732.96
  6. Step 6: Final answer
    x = 8,810.00

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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.