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Finding the Fourth Proportional to 15,254.32, 22,862.64 and 9,008

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Solution

The fourth proportional to 15,254.32, 22,862.64 and 9,008 is: 13,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,254.32 : 22,862.64 = 9,008 : x
  2. Step 2: Convert to fraction form
    15,254.32/22,862.64 = 9,008/x
  3. Step 3: Cross multiply
    15,254.32x = 22,862.64 × 9,008
  4. Step 4: Simplify right side
    15,254.32x = 205,946,661.12
  5. Step 5: Solve for x
    x = 205,946,661.12/15,254.32
  6. Step 6: Final answer
    x = 13,500.87

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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.