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Finding the Fourth Proportional to 13,112.16, 18,097.28 and 7,449.44

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Solution

The fourth proportional to 13,112.16, 18,097.28 and 7,449.44 is: 10,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112.16 : 18,097.28 = 7,449.44 : x
  2. Step 2: Convert to fraction form
    13,112.16/18,097.28 = 7,449.44/x
  3. Step 3: Cross multiply
    13,112.16x = 18,097.28 × 7,449.44
  4. Step 4: Simplify right side
    13,112.16x = 134,814,601.52
  5. Step 5: Solve for x
    x = 134,814,601.52/13,112.16
  6. Step 6: Final answer
    x = 10,281.65

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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.