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Finding the Fourth Proportional to 25,615.92, 38,423.88 and 6,896

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Solution

The fourth proportional to 25,615.92, 38,423.88 and 6,896 is: 10,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615.92 : 38,423.88 = 6,896 : x
  2. Step 2: Convert to fraction form
    25,615.92/38,423.88 = 6,896/x
  3. Step 3: Cross multiply
    25,615.92x = 38,423.88 × 6,896
  4. Step 4: Simplify right side
    25,615.92x = 264,971,076.48
  5. Step 5: Solve for x
    x = 264,971,076.48/25,615.92
  6. Step 6: Final answer
    x = 10,344

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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.