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Finding the Fourth Proportional to 15,498.04, 23,252.82 and 7,182.04

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Solution

The fourth proportional to 15,498.04, 23,252.82 and 7,182.04 is: 10,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498.04 : 23,252.82 = 7,182.04 : x
  2. Step 2: Convert to fraction form
    15,498.04/23,252.82 = 7,182.04/x
  3. Step 3: Cross multiply
    15,498.04x = 23,252.82 × 7,182.04
  4. Step 4: Simplify right side
    15,498.04x = 167,002,683.35
  5. Step 5: Solve for x
    x = 167,002,683.35/15,498.04
  6. Step 6: Final answer
    x = 10,775.73

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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.