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Finding the Fourth Proportional to 10,238.16, 15,326.47 and 9,168.80

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Solution

The fourth proportional to 10,238.16, 15,326.47 and 9,168.80 is: 13,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.16 : 15,326.47 = 9,168.80 : x
  2. Step 2: Convert to fraction form
    10,238.16/15,326.47 = 9,168.80/x
  3. Step 3: Cross multiply
    10,238.16x = 15,326.47 × 9,168.80
  4. Step 4: Simplify right side
    10,238.16x = 140,525,338.14
  5. Step 5: Solve for x
    x = 140,525,338.14/10,238.16
  6. Step 6: Final answer
    x = 13,725.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.