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Finding the Fourth Proportional to 13,151.32, 18,148.18 and 7,182.84

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Solution

The fourth proportional to 13,151.32, 18,148.18 and 7,182.84 is: 9,911.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.32 : 18,148.18 = 7,182.84 : x
  2. Step 2: Convert to fraction form
    13,151.32/18,148.18 = 7,182.84/x
  3. Step 3: Cross multiply
    13,151.32x = 18,148.18 × 7,182.84
  4. Step 4: Simplify right side
    13,151.32x = 130,355,473.23
  5. Step 5: Solve for x
    x = 130,355,473.23/13,151.32
  6. Step 6: Final answer
    x = 9,911.97

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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.