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Finding the Fourth Proportional to 13,113.13, 18,097.14 and 7,448.80

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Solution

The fourth proportional to 13,113.13, 18,097.14 and 7,448.80 is: 10,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.13 : 18,097.14 = 7,448.80 : x
  2. Step 2: Convert to fraction form
    13,113.13/18,097.14 = 7,448.80/x
  3. Step 3: Cross multiply
    13,113.13x = 18,097.14 × 7,448.80
  4. Step 4: Simplify right side
    13,113.13x = 134,801,976.43
  5. Step 5: Solve for x
    x = 134,801,976.43/13,113.13
  6. Step 6: Final answer
    x = 10,279.92

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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.