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Finding the Fourth Proportional to 25,633.12, 38,456.16 and 7,165.12

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Solution

The fourth proportional to 25,633.12, 38,456.16 and 7,165.12 is: 10,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,633.12 : 38,456.16 = 7,165.12 : x
  2. Step 2: Convert to fraction form
    25,633.12/38,456.16 = 7,165.12/x
  3. Step 3: Cross multiply
    25,633.12x = 38,456.16 × 7,165.12
  4. Step 4: Simplify right side
    25,633.12x = 275,543,001.14
  5. Step 5: Solve for x
    x = 275,543,001.14/25,633.12
  6. Step 6: Final answer
    x = 10,749.49

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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.