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Finding the Fourth Proportional to 23,932.80, 35,915.40 and 10,778.40

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Solution

The fourth proportional to 23,932.80, 35,915.40 and 10,778.40 is: 16,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,932.80 : 35,915.40 = 10,778.40 : x
  2. Step 2: Convert to fraction form
    23,932.80/35,915.40 = 10,778.40/x
  3. Step 3: Cross multiply
    23,932.80x = 35,915.40 × 10,778.40
  4. Step 4: Simplify right side
    23,932.80x = 387,110,547.36
  5. Step 5: Solve for x
    x = 387,110,547.36/23,932.80
  6. Step 6: Final answer
    x = 16,174.90

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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.