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Finding the Fourth Proportional to 25,286.40, 34,884.04 and 15,209

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Solution

The fourth proportional to 25,286.40, 34,884.04 and 15,209 is: 20,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,286.40 : 34,884.04 = 15,209 : x
  2. Step 2: Convert to fraction form
    25,286.40/34,884.04 = 15,209/x
  3. Step 3: Cross multiply
    25,286.40x = 34,884.04 × 15,209
  4. Step 4: Simplify right side
    25,286.40x = 530,551,364.36
  5. Step 5: Solve for x
    x = 530,551,364.36/25,286.40
  6. Step 6: Final answer
    x = 20,981.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.