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Finding the Fourth Proportional to 12,816.59, 17,686.22 and 7,151.27

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Solution

The fourth proportional to 12,816.59, 17,686.22 and 7,151.27 is: 9,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.59 : 17,686.22 = 7,151.27 : x
  2. Step 2: Convert to fraction form
    12,816.59/17,686.22 = 7,151.27/x
  3. Step 3: Cross multiply
    12,816.59x = 17,686.22 × 7,151.27
  4. Step 4: Simplify right side
    12,816.59x = 126,478,810.31
  5. Step 5: Solve for x
    x = 126,478,810.31/12,816.59
  6. Step 6: Final answer
    x = 9,868.37

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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.