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Finding the Fourth Proportional to 25,617.80, 38,423.46 and 8,089.40

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Solution

The fourth proportional to 25,617.80, 38,423.46 and 8,089.40 is: 12,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,617.80 : 38,423.46 = 8,089.40 : x
  2. Step 2: Convert to fraction form
    25,617.80/38,423.46 = 8,089.40/x
  3. Step 3: Cross multiply
    25,617.80x = 38,423.46 × 8,089.40
  4. Step 4: Simplify right side
    25,617.80x = 310,822,737.32
  5. Step 5: Solve for x
    x = 310,822,737.32/25,617.80
  6. Step 6: Final answer
    x = 12,133.08

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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.