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Finding the Fourth Proportional to 14,732.32, 22,078.28 and 7,792.96

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Solution

The fourth proportional to 14,732.32, 22,078.28 and 7,792.96 is: 11,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,732.32 : 22,078.28 = 7,792.96 : x
  2. Step 2: Convert to fraction form
    14,732.32/22,078.28 = 7,792.96/x
  3. Step 3: Cross multiply
    14,732.32x = 22,078.28 × 7,792.96
  4. Step 4: Simplify right side
    14,732.32x = 172,055,152.91
  5. Step 5: Solve for x
    x = 172,055,152.91/14,732.32
  6. Step 6: Final answer
    x = 11,678.75

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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.