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Finding the Fourth Proportional to 17,614.71, 26,417.87 and 7,084.76

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Solution

The fourth proportional to 17,614.71, 26,417.87 and 7,084.76 is: 10,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.71 : 26,417.87 = 7,084.76 : x
  2. Step 2: Convert to fraction form
    17,614.71/26,417.87 = 7,084.76/x
  3. Step 3: Cross multiply
    17,614.71x = 26,417.87 × 7,084.76
  4. Step 4: Simplify right side
    17,614.71x = 187,164,268.66
  5. Step 5: Solve for x
    x = 187,164,268.66/17,614.71
  6. Step 6: Final answer
    x = 10,625.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.