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Finding the Fourth Proportional to 17,984.16, 24,815.76 and 10,910.88

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Solution

The fourth proportional to 17,984.16, 24,815.76 and 10,910.88 is: 15,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984.16 : 24,815.76 = 10,910.88 : x
  2. Step 2: Convert to fraction form
    17,984.16/24,815.76 = 10,910.88/x
  3. Step 3: Cross multiply
    17,984.16x = 24,815.76 × 10,910.88
  4. Step 4: Simplify right side
    17,984.16x = 270,761,779.47
  5. Step 5: Solve for x
    x = 270,761,779.47/17,984.16
  6. Step 6: Final answer
    x = 15,055.57

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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.