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Finding the Fourth Proportional to 24,851.16, 34,287.78 and 17,289

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Solution

The fourth proportional to 24,851.16, 34,287.78 and 17,289 is: 23,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,851.16 : 34,287.78 = 17,289 : x
  2. Step 2: Convert to fraction form
    24,851.16/34,287.78 = 17,289/x
  3. Step 3: Cross multiply
    24,851.16x = 34,287.78 × 17,289
  4. Step 4: Simplify right side
    24,851.16x = 592,801,428.42
  5. Step 5: Solve for x
    x = 592,801,428.42/24,851.16
  6. Step 6: Final answer
    x = 23,854.07

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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.