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Finding the Fourth Proportional to 24,267.75, 33,485.85 and 13,657.16

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Solution

The fourth proportional to 24,267.75, 33,485.85 and 13,657.16 is: 18,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,267.75 : 33,485.85 = 13,657.16 : x
  2. Step 2: Convert to fraction form
    24,267.75/33,485.85 = 13,657.16/x
  3. Step 3: Cross multiply
    24,267.75x = 33,485.85 × 13,657.16
  4. Step 4: Simplify right side
    24,267.75x = 457,321,443.76
  5. Step 5: Solve for x
    x = 457,321,443.76/24,267.75
  6. Step 6: Final answer
    x = 18,844.82

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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.