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Finding the Fourth Proportional to 13,113.87, 18,097.23 and 7,448.64

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Solution

The fourth proportional to 13,113.87, 18,097.23 and 7,448.64 is: 10,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.87 : 18,097.23 = 7,448.64 : x
  2. Step 2: Convert to fraction form
    13,113.87/18,097.23 = 7,448.64/x
  3. Step 3: Cross multiply
    13,113.87x = 18,097.23 × 7,448.64
  4. Step 4: Simplify right side
    13,113.87x = 134,799,751.27
  5. Step 5: Solve for x
    x = 134,799,751.27/13,113.87
  6. Step 6: Final answer
    x = 10,279.17

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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.