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Finding the Fourth Proportional to 24,283.25, 33,509.96 and 13,527.86

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Solution

The fourth proportional to 24,283.25, 33,509.96 and 13,527.86 is: 18,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,283.25 : 33,509.96 = 13,527.86 : x
  2. Step 2: Convert to fraction form
    24,283.25/33,509.96 = 13,527.86/x
  3. Step 3: Cross multiply
    24,283.25x = 33,509.96 × 13,527.86
  4. Step 4: Simplify right side
    24,283.25x = 453,318,047.49
  5. Step 5: Solve for x
    x = 453,318,047.49/24,283.25
  6. Step 6: Final answer
    x = 18,667.94

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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.