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Finding the Fourth Proportional to 15,578.11, 21,500.13 and 9,531.82

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Solution

The fourth proportional to 15,578.11, 21,500.13 and 9,531.82 is: 13,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.11 : 21,500.13 = 9,531.82 : x
  2. Step 2: Convert to fraction form
    15,578.11/21,500.13 = 9,531.82/x
  3. Step 3: Cross multiply
    15,578.11x = 21,500.13 × 9,531.82
  4. Step 4: Simplify right side
    15,578.11x = 204,935,369.14
  5. Step 5: Solve for x
    x = 204,935,369.14/15,578.11
  6. Step 6: Final answer
    x = 13,155.34

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