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Finding the Fourth Proportional to 12,645.16, 17,448.42 and 7,927.72

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Solution

The fourth proportional to 12,645.16, 17,448.42 and 7,927.72 is: 10,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.16 : 17,448.42 = 7,927.72 : x
  2. Step 2: Convert to fraction form
    12,645.16/17,448.42 = 7,927.72/x
  3. Step 3: Cross multiply
    12,645.16x = 17,448.42 × 7,927.72
  4. Step 4: Simplify right side
    12,645.16x = 138,326,188.20
  5. Step 5: Solve for x
    x = 138,326,188.20/12,645.16
  6. Step 6: Final answer
    x = 10,939.06

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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.