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Finding the Fourth Proportional to 16,519.38, 22,793.12 and 9,807.24

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Solution

The fourth proportional to 16,519.38, 22,793.12 and 9,807.24 is: 13,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,519.38 : 22,793.12 = 9,807.24 : x
  2. Step 2: Convert to fraction form
    16,519.38/22,793.12 = 9,807.24/x
  3. Step 3: Cross multiply
    16,519.38x = 22,793.12 × 9,807.24
  4. Step 4: Simplify right side
    16,519.38x = 223,537,598.19
  5. Step 5: Solve for x
    x = 223,537,598.19/16,519.38
  6. Step 6: Final answer
    x = 13,531.84

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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.