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Finding the Fourth Proportional to 12,727.74, 17,564.67 and 7,426.02

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Solution

The fourth proportional to 12,727.74, 17,564.67 and 7,426.02 is: 10,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.74 : 17,564.67 = 7,426.02 : x
  2. Step 2: Convert to fraction form
    12,727.74/17,564.67 = 7,426.02/x
  3. Step 3: Cross multiply
    12,727.74x = 17,564.67 × 7,426.02
  4. Step 4: Simplify right side
    12,727.74x = 130,435,590.71
  5. Step 5: Solve for x
    x = 130,435,590.71/12,727.74
  6. Step 6: Final answer
    x = 10,248.13

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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.