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Finding the Fourth Proportional to 16,505.17, 22,771.56 and 9,792.88

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Solution

The fourth proportional to 16,505.17, 22,771.56 and 9,792.88 is: 13,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.17 : 22,771.56 = 9,792.88 : x
  2. Step 2: Convert to fraction form
    16,505.17/22,771.56 = 9,792.88/x
  3. Step 3: Cross multiply
    16,505.17x = 22,771.56 × 9,792.88
  4. Step 4: Simplify right side
    16,505.17x = 222,999,154.49
  5. Step 5: Solve for x
    x = 222,999,154.49/16,505.17
  6. Step 6: Final answer
    x = 13,510.87

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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.