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Finding the Fourth Proportional to 15,239.52, 22,842 and 6,468.96

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Solution

The fourth proportional to 15,239.52, 22,842 and 6,468.96 is: 9,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,239.52 : 22,842 = 6,468.96 : x
  2. Step 2: Convert to fraction form
    15,239.52/22,842 = 6,468.96/x
  3. Step 3: Cross multiply
    15,239.52x = 22,842 × 6,468.96
  4. Step 4: Simplify right side
    15,239.52x = 147,763,984.32
  5. Step 5: Solve for x
    x = 147,763,984.32/15,239.52
  6. Step 6: Final answer
    x = 9,696.10

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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.