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Finding the Fourth Proportional to 13,547.66, 20,322.27 and 5,227.71

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Solution

The fourth proportional to 13,547.66, 20,322.27 and 5,227.71 is: 7,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.66 : 20,322.27 = 5,227.71 : x
  2. Step 2: Convert to fraction form
    13,547.66/20,322.27 = 5,227.71/x
  3. Step 3: Cross multiply
    13,547.66x = 20,322.27 × 5,227.71
  4. Step 4: Simplify right side
    13,547.66x = 106,238,934.10
  5. Step 5: Solve for x
    x = 106,238,934.10/13,547.66
  6. Step 6: Final answer
    x = 7,841.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.