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Finding the Fourth Proportional to 27,147.68, 37,463.28 and 17,698.40

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Solution

The fourth proportional to 27,147.68, 37,463.28 and 17,698.40 is: 24,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,147.68 : 37,463.28 = 17,698.40 : x
  2. Step 2: Convert to fraction form
    27,147.68/37,463.28 = 17,698.40/x
  3. Step 3: Cross multiply
    27,147.68x = 37,463.28 × 17,698.40
  4. Step 4: Simplify right side
    27,147.68x = 663,040,114.75
  5. Step 5: Solve for x
    x = 663,040,114.75/27,147.68
  6. Step 6: Final answer
    x = 24,423.45

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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.