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Finding the Fourth Proportional to 23,515.76, 32,446.68 and 13,574

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Solution

The fourth proportional to 23,515.76, 32,446.68 and 13,574 is: 18,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,515.76 : 32,446.68 = 13,574 : x
  2. Step 2: Convert to fraction form
    23,515.76/32,446.68 = 13,574/x
  3. Step 3: Cross multiply
    23,515.76x = 32,446.68 × 13,574
  4. Step 4: Simplify right side
    23,515.76x = 440,431,234.32
  5. Step 5: Solve for x
    x = 440,431,234.32/23,515.76
  6. Step 6: Final answer
    x = 18,729.19

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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.