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Finding the Fourth Proportional to 25,802.40, 38,761.20 and 24,823.20

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Solution

The fourth proportional to 25,802.40, 38,761.20 and 24,823.20 is: 37,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.40 : 38,761.20 = 24,823.20 : x
  2. Step 2: Convert to fraction form
    25,802.40/38,761.20 = 24,823.20/x
  3. Step 3: Cross multiply
    25,802.40x = 38,761.20 × 24,823.20
  4. Step 4: Simplify right side
    25,802.40x = 962,177,019.84
  5. Step 5: Solve for x
    x = 962,177,019.84/25,802.40
  6. Step 6: Final answer
    x = 37,290.21

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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.