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Finding the Fourth Proportional to 23,704.32, 32,711.98 and 12,949.34

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Solution

The fourth proportional to 23,704.32, 32,711.98 and 12,949.34 is: 17,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.32 : 32,711.98 = 12,949.34 : x
  2. Step 2: Convert to fraction form
    23,704.32/32,711.98 = 12,949.34/x
  3. Step 3: Cross multiply
    23,704.32x = 32,711.98 × 12,949.34
  4. Step 4: Simplify right side
    23,704.32x = 423,598,551.09
  5. Step 5: Solve for x
    x = 423,598,551.09/23,704.32
  6. Step 6: Final answer
    x = 17,870.10

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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.