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Finding the Fourth Proportional to 15,570.91, 21,488.70 and 8,497.38

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Solution

The fourth proportional to 15,570.91, 21,488.70 and 8,497.38 is: 11,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,570.91 : 21,488.70 = 8,497.38 : x
  2. Step 2: Convert to fraction form
    15,570.91/21,488.70 = 8,497.38/x
  3. Step 3: Cross multiply
    15,570.91x = 21,488.70 × 8,497.38
  4. Step 4: Simplify right side
    15,570.91x = 182,597,649.61
  5. Step 5: Solve for x
    x = 182,597,649.61/15,570.91
  6. Step 6: Final answer
    x = 11,726.85

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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.