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Finding the Fourth Proportional to 23,217.34, 32,040.59 and 13,657.93

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Solution

The fourth proportional to 23,217.34, 32,040.59 and 13,657.93 is: 18,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217.34 : 32,040.59 = 13,657.93 : x
  2. Step 2: Convert to fraction form
    23,217.34/32,040.59 = 13,657.93/x
  3. Step 3: Cross multiply
    23,217.34x = 32,040.59 × 13,657.93
  4. Step 4: Simplify right side
    23,217.34x = 437,608,135.38
  5. Step 5: Solve for x
    x = 437,608,135.38/23,217.34
  6. Step 6: Final answer
    x = 18,848.33

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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.