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Finding the Fourth Proportional to 17,642.16, 24,339.96 and 10,833.84

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Solution

The fourth proportional to 17,642.16, 24,339.96 and 10,833.84 is: 14,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.16 : 24,339.96 = 10,833.84 : x
  2. Step 2: Convert to fraction form
    17,642.16/24,339.96 = 10,833.84/x
  3. Step 3: Cross multiply
    17,642.16x = 24,339.96 × 10,833.84
  4. Step 4: Simplify right side
    17,642.16x = 263,695,232.25
  5. Step 5: Solve for x
    x = 263,695,232.25/17,642.16
  6. Step 6: Final answer
    x = 14,946.88

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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.