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Finding the Fourth Proportional to 23,218.17, 32,041.71 and 13,658.73

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Solution

The fourth proportional to 23,218.17, 32,041.71 and 13,658.73 is: 18,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,218.17 : 32,041.71 = 13,658.73 : x
  2. Step 2: Convert to fraction form
    23,218.17/32,041.71 = 13,658.73/x
  3. Step 3: Cross multiply
    23,218.17x = 32,041.71 × 13,658.73
  4. Step 4: Simplify right side
    23,218.17x = 437,649,065.63
  5. Step 5: Solve for x
    x = 437,649,065.63/23,218.17
  6. Step 6: Final answer
    x = 18,849.42

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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.