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Finding the Fourth Proportional to 15,663.76, 21,615.82 and 8,948.90

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Solution

The fourth proportional to 15,663.76, 21,615.82 and 8,948.90 is: 12,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,663.76 : 21,615.82 = 8,948.90 : x
  2. Step 2: Convert to fraction form
    15,663.76/21,615.82 = 8,948.90/x
  3. Step 3: Cross multiply
    15,663.76x = 21,615.82 × 8,948.90
  4. Step 4: Simplify right side
    15,663.76x = 193,437,843.27
  5. Step 5: Solve for x
    x = 193,437,843.27/15,663.76
  6. Step 6: Final answer
    x = 12,349.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.