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Finding the Fourth Proportional to 13,148.83, 18,145.82 and 7,180.85

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Solution

The fourth proportional to 13,148.83, 18,145.82 and 7,180.85 is: 9,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.83 : 18,145.82 = 7,180.85 : x
  2. Step 2: Convert to fraction form
    13,148.83/18,145.82 = 7,180.85/x
  3. Step 3: Cross multiply
    13,148.83x = 18,145.82 × 7,180.85
  4. Step 4: Simplify right side
    13,148.83x = 130,302,474.86
  5. Step 5: Solve for x
    x = 130,302,474.86/13,148.83
  6. Step 6: Final answer
    x = 9,909.81

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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.