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Finding the Fourth Proportional to 28,452.57, 42,678.86 and 9,732.78

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Solution

The fourth proportional to 28,452.57, 42,678.86 and 9,732.78 is: 14,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,452.57 : 42,678.86 = 9,732.78 : x
  2. Step 2: Convert to fraction form
    28,452.57/42,678.86 = 9,732.78/x
  3. Step 3: Cross multiply
    28,452.57x = 42,678.86 × 9,732.78
  4. Step 4: Simplify right side
    28,452.57x = 415,383,955.03
  5. Step 5: Solve for x
    x = 415,383,955.03/28,452.57
  6. Step 6: Final answer
    x = 14,599.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.