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Finding the Fourth Proportional to 18,280.43, 27,417 and 5,132.93

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Solution

The fourth proportional to 18,280.43, 27,417 and 5,132.93 is: 7,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280.43 : 27,417 = 5,132.93 : x
  2. Step 2: Convert to fraction form
    18,280.43/27,417 = 5,132.93/x
  3. Step 3: Cross multiply
    18,280.43x = 27,417 × 5,132.93
  4. Step 4: Simplify right side
    18,280.43x = 140,729,541.81
  5. Step 5: Solve for x
    x = 140,729,541.81/18,280.43
  6. Step 6: Final answer
    x = 7,698.37

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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.