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Finding the Fourth Proportional to 13,115.70, 18,098.10 and 7,448.40

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Solution

The fourth proportional to 13,115.70, 18,098.10 and 7,448.40 is: 10,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.70 : 18,098.10 = 7,448.40 : x
  2. Step 2: Convert to fraction form
    13,115.70/18,098.10 = 7,448.40/x
  3. Step 3: Cross multiply
    13,115.70x = 18,098.10 × 7,448.40
  4. Step 4: Simplify right side
    13,115.70x = 134,801,888.04
  5. Step 5: Solve for x
    x = 134,801,888.04/13,115.70
  6. Step 6: Final answer
    x = 10,277.90

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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.