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Finding the Fourth Proportional to 11,860.38, 17,698.48 and 10,285.74

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Solution

The fourth proportional to 11,860.38, 17,698.48 and 10,285.74 is: 15,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.38 : 17,698.48 = 10,285.74 : x
  2. Step 2: Convert to fraction form
    11,860.38/17,698.48 = 10,285.74/x
  3. Step 3: Cross multiply
    11,860.38x = 17,698.48 × 10,285.74
  4. Step 4: Simplify right side
    11,860.38x = 182,041,937.96
  5. Step 5: Solve for x
    x = 182,041,937.96/11,860.38
  6. Step 6: Final answer
    x = 15,348.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.