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Finding the Fourth Proportional to 23,092.61, 31,865.88 and 13,023.53

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Solution

The fourth proportional to 23,092.61, 31,865.88 and 13,023.53 is: 17,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,092.61 : 31,865.88 = 13,023.53 : x
  2. Step 2: Convert to fraction form
    23,092.61/31,865.88 = 13,023.53/x
  3. Step 3: Cross multiply
    23,092.61x = 31,865.88 × 13,023.53
  4. Step 4: Simplify right side
    23,092.61x = 415,006,244.16
  5. Step 5: Solve for x
    x = 415,006,244.16/23,092.61
  6. Step 6: Final answer
    x = 17,971.39

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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.