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Finding the Fourth Proportional to 23,170.88, 34,761.16 and 7,587.28

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Solution

The fourth proportional to 23,170.88, 34,761.16 and 7,587.28 is: 11,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,170.88 : 34,761.16 = 7,587.28 : x
  2. Step 2: Convert to fraction form
    23,170.88/34,761.16 = 7,587.28/x
  3. Step 3: Cross multiply
    23,170.88x = 34,761.16 × 7,587.28
  4. Step 4: Simplify right side
    23,170.88x = 263,742,654.04
  5. Step 5: Solve for x
    x = 263,742,654.04/23,170.88
  6. Step 6: Final answer
    x = 11,382.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.