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Finding the Fourth Proportional to 23,291.50, 32,144.70 and 13,222.66

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Solution

The fourth proportional to 23,291.50, 32,144.70 and 13,222.66 is: 18,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291.50 : 32,144.70 = 13,222.66 : x
  2. Step 2: Convert to fraction form
    23,291.50/32,144.70 = 13,222.66/x
  3. Step 3: Cross multiply
    23,291.50x = 32,144.70 × 13,222.66
  4. Step 4: Simplify right side
    23,291.50x = 425,038,438.90
  5. Step 5: Solve for x
    x = 425,038,438.90/23,291.50
  6. Step 6: Final answer
    x = 18,248.65

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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.