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Finding the Fourth Proportional to 15,464, 23,176.98 and 7,132.44

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Solution

The fourth proportional to 15,464, 23,176.98 and 7,132.44 is: 10,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,464 : 23,176.98 = 7,132.44 : x
  2. Step 2: Convert to fraction form
    15,464/23,176.98 = 7,132.44/x
  3. Step 3: Cross multiply
    15,464x = 23,176.98 × 7,132.44
  4. Step 4: Simplify right side
    15,464x = 165,308,419.23
  5. Step 5: Solve for x
    x = 165,308,419.23/15,464
  6. Step 6: Final answer
    x = 10,689.89

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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.