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Finding the Fourth Proportional to 23,431, 32,338.62 and 13,500.76

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Solution

The fourth proportional to 23,431, 32,338.62 and 13,500.76 is: 18,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,431 : 32,338.62 = 13,500.76 : x
  2. Step 2: Convert to fraction form
    23,431/32,338.62 = 13,500.76/x
  3. Step 3: Cross multiply
    23,431x = 32,338.62 × 13,500.76
  4. Step 4: Simplify right side
    23,431x = 436,595,947.35
  5. Step 5: Solve for x
    x = 436,595,947.35/23,431
  6. Step 6: Final answer
    x = 18,633.26

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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.