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Finding the Fourth Proportional to 15,992.38, 22,070.67 and 9,280.30

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Solution

The fourth proportional to 15,992.38, 22,070.67 and 9,280.30 is: 12,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992.38 : 22,070.67 = 9,280.30 : x
  2. Step 2: Convert to fraction form
    15,992.38/22,070.67 = 9,280.30/x
  3. Step 3: Cross multiply
    15,992.38x = 22,070.67 × 9,280.30
  4. Step 4: Simplify right side
    15,992.38x = 204,822,438.80
  5. Step 5: Solve for x
    x = 204,822,438.80/15,992.38
  6. Step 6: Final answer
    x = 12,807.50

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Why These Related Problems?

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