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Finding the Fourth Proportional to 12,496.32, 17,242.35 and 7,458.93

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Solution

The fourth proportional to 12,496.32, 17,242.35 and 7,458.93 is: 10,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.32 : 17,242.35 = 7,458.93 : x
  2. Step 2: Convert to fraction form
    12,496.32/17,242.35 = 7,458.93/x
  3. Step 3: Cross multiply
    12,496.32x = 17,242.35 × 7,458.93
  4. Step 4: Simplify right side
    12,496.32x = 128,609,481.69
  5. Step 5: Solve for x
    x = 128,609,481.69/12,496.32
  6. Step 6: Final answer
    x = 10,291.79

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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.