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Finding the Fourth Proportional to 23,833.62, 35,743.47 and 9,031.86

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Solution

The fourth proportional to 23,833.62, 35,743.47 and 9,031.86 is: 13,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.62 : 35,743.47 = 9,031.86 : x
  2. Step 2: Convert to fraction form
    23,833.62/35,743.47 = 9,031.86/x
  3. Step 3: Cross multiply
    23,833.62x = 35,743.47 × 9,031.86
  4. Step 4: Simplify right side
    23,833.62x = 322,830,016.95
  5. Step 5: Solve for x
    x = 322,830,016.95/23,833.62
  6. Step 6: Final answer
    x = 13,545.15

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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.