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Finding the Fourth Proportional to 12,526.59, 17,282.40 and 7,145.16

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Solution

The fourth proportional to 12,526.59, 17,282.40 and 7,145.16 is: 9,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.59 : 17,282.40 = 7,145.16 : x
  2. Step 2: Convert to fraction form
    12,526.59/17,282.40 = 7,145.16/x
  3. Step 3: Cross multiply
    12,526.59x = 17,282.40 × 7,145.16
  4. Step 4: Simplify right side
    12,526.59x = 123,485,513.18
  5. Step 5: Solve for x
    x = 123,485,513.18/12,526.59
  6. Step 6: Final answer
    x = 9,857.87

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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.