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Finding the Fourth Proportional to 12,816.14, 17,686.28 and 7,510.95

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Solution

The fourth proportional to 12,816.14, 17,686.28 and 7,510.95 is: 10,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.14 : 17,686.28 = 7,510.95 : x
  2. Step 2: Convert to fraction form
    12,816.14/17,686.28 = 7,510.95/x
  3. Step 3: Cross multiply
    12,816.14x = 17,686.28 × 7,510.95
  4. Step 4: Simplify right side
    12,816.14x = 132,840,727.21
  5. Step 5: Solve for x
    x = 132,840,727.21/12,816.14
  6. Step 6: Final answer
    x = 10,365.12

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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.