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Finding the Fourth Proportional to 15,578.74, 21,499.17 and 8,505.70

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Solution

The fourth proportional to 15,578.74, 21,499.17 and 8,505.70 is: 11,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.74 : 21,499.17 = 8,505.70 : x
  2. Step 2: Convert to fraction form
    15,578.74/21,499.17 = 8,505.70/x
  3. Step 3: Cross multiply
    15,578.74x = 21,499.17 × 8,505.70
  4. Step 4: Simplify right side
    15,578.74x = 182,865,490.27
  5. Step 5: Solve for x
    x = 182,865,490.27/15,578.74
  6. Step 6: Final answer
    x = 11,738.14

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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.