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Finding the Fourth Proportional to 25,506.17, 38,270.79 and 13,019.75

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Solution

The fourth proportional to 25,506.17, 38,270.79 and 13,019.75 is: 19,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,506.17 : 38,270.79 = 13,019.75 : x
  2. Step 2: Convert to fraction form
    25,506.17/38,270.79 = 13,019.75/x
  3. Step 3: Cross multiply
    25,506.17x = 38,270.79 × 13,019.75
  4. Step 4: Simplify right side
    25,506.17x = 498,275,926.75
  5. Step 5: Solve for x
    x = 498,275,926.75/25,506.17
  6. Step 6: Final answer
    x = 19,535.51

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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.