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Finding the Fourth Proportional to 13,032.38, 17,976.71 and 7,723.64

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Solution

The fourth proportional to 13,032.38, 17,976.71 and 7,723.64 is: 10,653.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.38 : 17,976.71 = 7,723.64 : x
  2. Step 2: Convert to fraction form
    13,032.38/17,976.71 = 7,723.64/x
  3. Step 3: Cross multiply
    13,032.38x = 17,976.71 × 7,723.64
  4. Step 4: Simplify right side
    13,032.38x = 138,845,565.85
  5. Step 5: Solve for x
    x = 138,845,565.85/13,032.38
  6. Step 6: Final answer
    x = 10,653.90

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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.