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Finding the Fourth Proportional to 10,181.52, 15,248.57 and 9,901.23

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Solution

The fourth proportional to 10,181.52, 15,248.57 and 9,901.23 is: 14,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.52 : 15,248.57 = 9,901.23 : x
  2. Step 2: Convert to fraction form
    10,181.52/15,248.57 = 9,901.23/x
  3. Step 3: Cross multiply
    10,181.52x = 15,248.57 × 9,901.23
  4. Step 4: Simplify right side
    10,181.52x = 150,979,522.50
  5. Step 5: Solve for x
    x = 150,979,522.50/10,181.52
  6. Step 6: Final answer
    x = 14,828.78

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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.