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Finding the Fourth Proportional to 22,692, 34,050.96 and 10,380

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Solution

The fourth proportional to 22,692, 34,050.96 and 10,380 is: 15,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692 : 34,050.96 = 10,380 : x
  2. Step 2: Convert to fraction form
    22,692/34,050.96 = 10,380/x
  3. Step 3: Cross multiply
    22,692x = 34,050.96 × 10,380
  4. Step 4: Simplify right side
    22,692x = 353,448,964.80
  5. Step 5: Solve for x
    x = 353,448,964.80/22,692
  6. Step 6: Final answer
    x = 15,575.93

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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.