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Finding the Fourth Proportional to 17,830.92, 26,747 and 8,466.11

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Solution

The fourth proportional to 17,830.92, 26,747 and 8,466.11 is: 12,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.92 : 26,747 = 8,466.11 : x
  2. Step 2: Convert to fraction form
    17,830.92/26,747 = 8,466.11/x
  3. Step 3: Cross multiply
    17,830.92x = 26,747 × 8,466.11
  4. Step 4: Simplify right side
    17,830.92x = 226,443,044.17
  5. Step 5: Solve for x
    x = 226,443,044.17/17,830.92
  6. Step 6: Final answer
    x = 12,699.46

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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.