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Finding the Fourth Proportional to 25,857.40, 38,843.70 and 24,807.80

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Solution

The fourth proportional to 25,857.40, 38,843.70 and 24,807.80 is: 37,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.40 : 38,843.70 = 24,807.80 : x
  2. Step 2: Convert to fraction form
    25,857.40/38,843.70 = 24,807.80/x
  3. Step 3: Cross multiply
    25,857.40x = 38,843.70 × 24,807.80
  4. Step 4: Simplify right side
    25,857.40x = 963,626,740.86
  5. Step 5: Solve for x
    x = 963,626,740.86/25,857.40
  6. Step 6: Final answer
    x = 37,266.96

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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.