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Finding the Fourth Proportional to 12,685.05, 17,501.13 and 7,378.74

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Solution

The fourth proportional to 12,685.05, 17,501.13 and 7,378.74 is: 10,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.05 : 17,501.13 = 7,378.74 : x
  2. Step 2: Convert to fraction form
    12,685.05/17,501.13 = 7,378.74/x
  3. Step 3: Cross multiply
    12,685.05x = 17,501.13 × 7,378.74
  4. Step 4: Simplify right side
    12,685.05x = 129,136,287.98
  5. Step 5: Solve for x
    x = 129,136,287.98/12,685.05
  6. Step 6: Final answer
    x = 10,180.20

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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.