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Finding the Fourth Proportional to 22,743.80, 34,101.03 and 9,592.64

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Solution

The fourth proportional to 22,743.80, 34,101.03 and 9,592.64 is: 14,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743.80 : 34,101.03 = 9,592.64 : x
  2. Step 2: Convert to fraction form
    22,743.80/34,101.03 = 9,592.64/x
  3. Step 3: Cross multiply
    22,743.80x = 34,101.03 × 9,592.64
  4. Step 4: Simplify right side
    22,743.80x = 327,118,904.42
  5. Step 5: Solve for x
    x = 327,118,904.42/22,743.80
  6. Step 6: Final answer
    x = 14,382.77

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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.