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Finding the Fourth Proportional to 25,994.20, 38,987.32 and 8,464

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Solution

The fourth proportional to 25,994.20, 38,987.32 and 8,464 is: 12,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994.20 : 38,987.32 = 8,464 : x
  2. Step 2: Convert to fraction form
    25,994.20/38,987.32 = 8,464/x
  3. Step 3: Cross multiply
    25,994.20x = 38,987.32 × 8,464
  4. Step 4: Simplify right side
    25,994.20x = 329,988,676.48
  5. Step 5: Solve for x
    x = 329,988,676.48/25,994.20
  6. Step 6: Final answer
    x = 12,694.70

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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.