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Finding the Fourth Proportional to 17,534.92, 24,200.52 and 11,162.16

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Solution

The fourth proportional to 17,534.92, 24,200.52 and 11,162.16 is: 15,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.92 : 24,200.52 = 11,162.16 : x
  2. Step 2: Convert to fraction form
    17,534.92/24,200.52 = 11,162.16/x
  3. Step 3: Cross multiply
    17,534.92x = 24,200.52 × 11,162.16
  4. Step 4: Simplify right side
    17,534.92x = 270,130,076.32
  5. Step 5: Solve for x
    x = 270,130,076.32/17,534.92
  6. Step 6: Final answer
    x = 15,405.26

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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.