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Finding the Fourth Proportional to 25,885.60, 38,802.80 and 10,282.40

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Solution

The fourth proportional to 25,885.60, 38,802.80 and 10,282.40 is: 15,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885.60 : 38,802.80 = 10,282.40 : x
  2. Step 2: Convert to fraction form
    25,885.60/38,802.80 = 10,282.40/x
  3. Step 3: Cross multiply
    25,885.60x = 38,802.80 × 10,282.40
  4. Step 4: Simplify right side
    25,885.60x = 398,985,910.72
  5. Step 5: Solve for x
    x = 398,985,910.72/25,885.60
  6. Step 6: Final answer
    x = 15,413.43

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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.