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Finding the Fourth Proportional to 12,744.69, 17,587.58 and 7,155.69

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Solution

The fourth proportional to 12,744.69, 17,587.58 and 7,155.69 is: 9,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.69 : 17,587.58 = 7,155.69 : x
  2. Step 2: Convert to fraction form
    12,744.69/17,587.58 = 7,155.69/x
  3. Step 3: Cross multiply
    12,744.69x = 17,587.58 × 7,155.69
  4. Step 4: Simplify right side
    12,744.69x = 125,851,234.55
  5. Step 5: Solve for x
    x = 125,851,234.55/12,744.69
  6. Step 6: Final answer
    x = 9,874.80

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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.