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Finding the Fourth Proportional to 10,182.85, 15,174.27 and 9,848.39

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Solution

The fourth proportional to 10,182.85, 15,174.27 and 9,848.39 is: 14,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.85 : 15,174.27 = 9,848.39 : x
  2. Step 2: Convert to fraction form
    10,182.85/15,174.27 = 9,848.39/x
  3. Step 3: Cross multiply
    10,182.85x = 15,174.27 × 9,848.39
  4. Step 4: Simplify right side
    10,182.85x = 149,442,053.05
  5. Step 5: Solve for x
    x = 149,442,053.05/10,182.85
  6. Step 6: Final answer
    x = 14,675.86

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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.