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Finding the Fourth Proportional to 23,013.64, 34,521.90 and 7,431.88

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Solution

The fourth proportional to 23,013.64, 34,521.90 and 7,431.88 is: 11,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,013.64 : 34,521.90 = 7,431.88 : x
  2. Step 2: Convert to fraction form
    23,013.64/34,521.90 = 7,431.88/x
  3. Step 3: Cross multiply
    23,013.64x = 34,521.90 × 7,431.88
  4. Step 4: Simplify right side
    23,013.64x = 256,562,618.17
  5. Step 5: Solve for x
    x = 256,562,618.17/23,013.64
  6. Step 6: Final answer
    x = 11,148.29

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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.