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Finding the Fourth Proportional to 12,741.47, 17,582.54 and 7,363.74

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Solution

The fourth proportional to 12,741.47, 17,582.54 and 7,363.74 is: 10,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.47 : 17,582.54 = 7,363.74 : x
  2. Step 2: Convert to fraction form
    12,741.47/17,582.54 = 7,363.74/x
  3. Step 3: Cross multiply
    12,741.47x = 17,582.54 × 7,363.74
  4. Step 4: Simplify right side
    12,741.47x = 129,473,282.22
  5. Step 5: Solve for x
    x = 129,473,282.22/12,741.47
  6. Step 6: Final answer
    x = 10,161.57

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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.