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Finding the Fourth Proportional to 23,740.46, 32,768.64 and 15,680

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Solution

The fourth proportional to 23,740.46, 32,768.64 and 15,680 is: 21,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,740.46 : 32,768.64 = 15,680 : x
  2. Step 2: Convert to fraction form
    23,740.46/32,768.64 = 15,680/x
  3. Step 3: Cross multiply
    23,740.46x = 32,768.64 × 15,680
  4. Step 4: Simplify right side
    23,740.46x = 513,812,275.20
  5. Step 5: Solve for x
    x = 513,812,275.20/23,740.46
  6. Step 6: Final answer
    x = 21,642.89

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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.