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Finding the Fourth Proportional to 24,547.71, 33,874.57 and 13,791.18

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Solution

The fourth proportional to 24,547.71, 33,874.57 and 13,791.18 is: 19,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.71 : 33,874.57 = 13,791.18 : x
  2. Step 2: Convert to fraction form
    24,547.71/33,874.57 = 13,791.18/x
  3. Step 3: Cross multiply
    24,547.71x = 33,874.57 × 13,791.18
  4. Step 4: Simplify right side
    24,547.71x = 467,170,292.29
  5. Step 5: Solve for x
    x = 467,170,292.29/24,547.71
  6. Step 6: Final answer
    x = 19,031.12

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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.