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Finding the Fourth Proportional to 23,682.34, 32,680.74 and 13,071.88

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Solution

The fourth proportional to 23,682.34, 32,680.74 and 13,071.88 is: 18,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.34 : 32,680.74 = 13,071.88 : x
  2. Step 2: Convert to fraction form
    23,682.34/32,680.74 = 13,071.88/x
  3. Step 3: Cross multiply
    23,682.34x = 32,680.74 × 13,071.88
  4. Step 4: Simplify right side
    23,682.34x = 427,198,711.59
  5. Step 5: Solve for x
    x = 427,198,711.59/23,682.34
  6. Step 6: Final answer
    x = 18,038.70

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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.