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Finding the Fourth Proportional to 23,148.92, 34,725 and 11,459

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Solution

The fourth proportional to 23,148.92, 34,725 and 11,459 is: 17,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,148.92 : 34,725 = 11,459 : x
  2. Step 2: Convert to fraction form
    23,148.92/34,725 = 11,459/x
  3. Step 3: Cross multiply
    23,148.92x = 34,725 × 11,459
  4. Step 4: Simplify right side
    23,148.92x = 397,913,775
  5. Step 5: Solve for x
    x = 397,913,775/23,148.92
  6. Step 6: Final answer
    x = 17,189.30

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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.