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Finding the Fourth Proportional to 16,842.64, 23,244.84 and 9,675.12

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Solution

The fourth proportional to 16,842.64, 23,244.84 and 9,675.12 is: 13,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.64 : 23,244.84 = 9,675.12 : x
  2. Step 2: Convert to fraction form
    16,842.64/23,244.84 = 9,675.12/x
  3. Step 3: Cross multiply
    16,842.64x = 23,244.84 × 9,675.12
  4. Step 4: Simplify right side
    16,842.64x = 224,896,616.38
  5. Step 5: Solve for x
    x = 224,896,616.38/16,842.64
  6. Step 6: Final answer
    x = 13,352.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.