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Finding the Fourth Proportional to 16,642.75, 24,964.94 and 4,956.07

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Solution

The fourth proportional to 16,642.75, 24,964.94 and 4,956.07 is: 7,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.75 : 24,964.94 = 4,956.07 : x
  2. Step 2: Convert to fraction form
    16,642.75/24,964.94 = 4,956.07/x
  3. Step 3: Cross multiply
    16,642.75x = 24,964.94 × 4,956.07
  4. Step 4: Simplify right side
    16,642.75x = 123,727,990.19
  5. Step 5: Solve for x
    x = 123,727,990.19/16,642.75
  6. Step 6: Final answer
    x = 7,434.35

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Why These Related Problems?

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