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Finding the Fourth Proportional to 25,478.50, 38,219.07 and 7,708.70

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Solution

The fourth proportional to 25,478.50, 38,219.07 and 7,708.70 is: 11,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,478.50 : 38,219.07 = 7,708.70 : x
  2. Step 2: Convert to fraction form
    25,478.50/38,219.07 = 7,708.70/x
  3. Step 3: Cross multiply
    25,478.50x = 38,219.07 × 7,708.70
  4. Step 4: Simplify right side
    25,478.50x = 294,619,344.91
  5. Step 5: Solve for x
    x = 294,619,344.91/25,478.50
  6. Step 6: Final answer
    x = 11,563.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.