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Finding the Fourth Proportional to 23,217.67, 32,041.02 and 13,658.23

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Solution

The fourth proportional to 23,217.67, 32,041.02 and 13,658.23 is: 18,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217.67 : 32,041.02 = 13,658.23 : x
  2. Step 2: Convert to fraction form
    23,217.67/32,041.02 = 13,658.23/x
  3. Step 3: Cross multiply
    23,217.67x = 32,041.02 × 13,658.23
  4. Step 4: Simplify right side
    23,217.67x = 437,623,620.59
  5. Step 5: Solve for x
    x = 437,623,620.59/23,217.67
  6. Step 6: Final answer
    x = 18,848.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.