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Finding the Fourth Proportional to 25,513.65, 38,270.55 and 7,744.45

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Solution

The fourth proportional to 25,513.65, 38,270.55 and 7,744.45 is: 11,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,513.65 : 38,270.55 = 7,744.45 : x
  2. Step 2: Convert to fraction form
    25,513.65/38,270.55 = 7,744.45/x
  3. Step 3: Cross multiply
    25,513.65x = 38,270.55 × 7,744.45
  4. Step 4: Simplify right side
    25,513.65x = 296,384,360.95
  5. Step 5: Solve for x
    x = 296,384,360.95/25,513.65
  6. Step 6: Final answer
    x = 11,616.70

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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.