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Finding the Fourth Proportional to 12,744.74, 17,587.53 and 7,079.47

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Solution

The fourth proportional to 12,744.74, 17,587.53 and 7,079.47 is: 9,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.74 : 17,587.53 = 7,079.47 : x
  2. Step 2: Convert to fraction form
    12,744.74/17,587.53 = 7,079.47/x
  3. Step 3: Cross multiply
    12,744.74x = 17,587.53 × 7,079.47
  4. Step 4: Simplify right side
    12,744.74x = 124,510,347.04
  5. Step 5: Solve for x
    x = 124,510,347.04/12,744.74
  6. Step 6: Final answer
    x = 9,769.55

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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.