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Finding the Fourth Proportional to 17,578.27, 26,368.76 and 5,098.47

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Solution

The fourth proportional to 17,578.27, 26,368.76 and 5,098.47 is: 7,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.27 : 26,368.76 = 5,098.47 : x
  2. Step 2: Convert to fraction form
    17,578.27/26,368.76 = 5,098.47/x
  3. Step 3: Cross multiply
    17,578.27x = 26,368.76 × 5,098.47
  4. Step 4: Simplify right side
    17,578.27x = 134,440,331.80
  5. Step 5: Solve for x
    x = 134,440,331.80/17,578.27
  6. Step 6: Final answer
    x = 7,648.10

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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.