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Finding the Fourth Proportional to 24,311.96, 33,549.63 and 13,702.58

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Solution

The fourth proportional to 24,311.96, 33,549.63 and 13,702.58 is: 18,909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.96 : 33,549.63 = 13,702.58 : x
  2. Step 2: Convert to fraction form
    24,311.96/33,549.63 = 13,702.58/x
  3. Step 3: Cross multiply
    24,311.96x = 33,549.63 × 13,702.58
  4. Step 4: Simplify right side
    24,311.96x = 459,716,489.05
  5. Step 5: Solve for x
    x = 459,716,489.05/24,311.96
  6. Step 6: Final answer
    x = 18,909.07

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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.