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Finding the Fourth Proportional to 16,642.84, 24,969.66 and 4,956.16

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Solution

The fourth proportional to 16,642.84, 24,969.66 and 4,956.16 is: 7,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.84 : 24,969.66 = 4,956.16 : x
  2. Step 2: Convert to fraction form
    16,642.84/24,969.66 = 4,956.16/x
  3. Step 3: Cross multiply
    16,642.84x = 24,969.66 × 4,956.16
  4. Step 4: Simplify right side
    16,642.84x = 123,753,630.11
  5. Step 5: Solve for x
    x = 123,753,630.11/16,642.84
  6. Step 6: Final answer
    x = 7,435.85

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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.