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Finding the Fourth Proportional to 25,884.70, 38,841.80 and 10,087.67

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Solution

The fourth proportional to 25,884.70, 38,841.80 and 10,087.67 is: 15,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884.70 : 38,841.80 = 10,087.67 : x
  2. Step 2: Convert to fraction form
    25,884.70/38,841.80 = 10,087.67/x
  3. Step 3: Cross multiply
    25,884.70x = 38,841.80 × 10,087.67
  4. Step 4: Simplify right side
    25,884.70x = 391,823,307.27
  5. Step 5: Solve for x
    x = 391,823,307.27/25,884.70
  6. Step 6: Final answer
    x = 15,137.26

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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.