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Finding the Fourth Proportional to 25,988.65, 38,930.35 and 20,415.90

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Solution

The fourth proportional to 25,988.65, 38,930.35 and 20,415.90 is: 30,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,988.65 : 38,930.35 = 20,415.90 : x
  2. Step 2: Convert to fraction form
    25,988.65/38,930.35 = 20,415.90/x
  3. Step 3: Cross multiply
    25,988.65x = 38,930.35 × 20,415.90
  4. Step 4: Simplify right side
    25,988.65x = 794,798,132.57
  5. Step 5: Solve for x
    x = 794,798,132.57/25,988.65
  6. Step 6: Final answer
    x = 30,582.51

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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.