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Finding the Fourth Proportional to 23,887.81, 32,965.35 and 13,132.87

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Solution

The fourth proportional to 23,887.81, 32,965.35 and 13,132.87 is: 18,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,887.81 : 32,965.35 = 13,132.87 : x
  2. Step 2: Convert to fraction form
    23,887.81/32,965.35 = 13,132.87/x
  3. Step 3: Cross multiply
    23,887.81x = 32,965.35 × 13,132.87
  4. Step 4: Simplify right side
    23,887.81x = 432,929,524.39
  5. Step 5: Solve for x
    x = 432,929,524.39/23,887.81
  6. Step 6: Final answer
    x = 18,123.45

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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.