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Finding the Fourth Proportional to 12,816.34, 17,686.49 and 7,151.10

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Solution

The fourth proportional to 12,816.34, 17,686.49 and 7,151.10 is: 9,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.34 : 17,686.49 = 7,151.10 : x
  2. Step 2: Convert to fraction form
    12,816.34/17,686.49 = 7,151.10/x
  3. Step 3: Cross multiply
    12,816.34x = 17,686.49 × 7,151.10
  4. Step 4: Simplify right side
    12,816.34x = 126,477,796.78
  5. Step 5: Solve for x
    x = 126,477,796.78/12,816.34
  6. Step 6: Final answer
    x = 9,868.48

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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.