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Finding the Fourth Proportional to 24,506.60, 33,813.86 and 14,431.34

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Solution

The fourth proportional to 24,506.60, 33,813.86 and 14,431.34 is: 19,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.60 : 33,813.86 = 14,431.34 : x
  2. Step 2: Convert to fraction form
    24,506.60/33,813.86 = 14,431.34/x
  3. Step 3: Cross multiply
    24,506.60x = 33,813.86 × 14,431.34
  4. Step 4: Simplify right side
    24,506.60x = 487,979,322.75
  5. Step 5: Solve for x
    x = 487,979,322.75/24,506.60
  6. Step 6: Final answer
    x = 19,912.16

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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.