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Finding the Fourth Proportional to 24,323.64, 33,566 and 13,713.18

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Solution

The fourth proportional to 24,323.64, 33,566 and 13,713.18 is: 18,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,323.64 : 33,566 = 13,713.18 : x
  2. Step 2: Convert to fraction form
    24,323.64/33,566 = 13,713.18/x
  3. Step 3: Cross multiply
    24,323.64x = 33,566 × 13,713.18
  4. Step 4: Simplify right side
    24,323.64x = 460,296,599.88
  5. Step 5: Solve for x
    x = 460,296,599.88/24,323.64
  6. Step 6: Final answer
    x = 18,923.84

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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.