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Finding the Fourth Proportional to 12,814.48, 17,685 and 7,151.08

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Solution

The fourth proportional to 12,814.48, 17,685 and 7,151.08 is: 9,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.48 : 17,685 = 7,151.08 : x
  2. Step 2: Convert to fraction form
    12,814.48/17,685 = 7,151.08/x
  3. Step 3: Cross multiply
    12,814.48x = 17,685 × 7,151.08
  4. Step 4: Simplify right side
    12,814.48x = 126,466,849.80
  5. Step 5: Solve for x
    x = 126,466,849.80/12,814.48
  6. Step 6: Final answer
    x = 9,869.06

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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.