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Finding the Fourth Proportional to 15,248.32, 22,853.64 and 9,002

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Solution

The fourth proportional to 15,248.32, 22,853.64 and 9,002 is: 13,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,248.32 : 22,853.64 = 9,002 : x
  2. Step 2: Convert to fraction form
    15,248.32/22,853.64 = 9,002/x
  3. Step 3: Cross multiply
    15,248.32x = 22,853.64 × 9,002
  4. Step 4: Simplify right side
    15,248.32x = 205,728,467.28
  5. Step 5: Solve for x
    x = 205,728,467.28/15,248.32
  6. Step 6: Final answer
    x = 13,491.88

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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.