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Finding the Fourth Proportional to 14,717.76, 22,076.90 and 6,397.78

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Solution

The fourth proportional to 14,717.76, 22,076.90 and 6,397.78 is: 9,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,717.76 : 22,076.90 = 6,397.78 : x
  2. Step 2: Convert to fraction form
    14,717.76/22,076.90 = 6,397.78/x
  3. Step 3: Cross multiply
    14,717.76x = 22,076.90 × 6,397.78
  4. Step 4: Simplify right side
    14,717.76x = 141,243,149.28
  5. Step 5: Solve for x
    x = 141,243,149.28/14,717.76
  6. Step 6: Final answer
    x = 9,596.78

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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.