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Finding the Fourth Proportional to 24,531.60, 33,861.06 and 14,459.34

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Solution

The fourth proportional to 24,531.60, 33,861.06 and 14,459.34 is: 19,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,531.60 : 33,861.06 = 14,459.34 : x
  2. Step 2: Convert to fraction form
    24,531.60/33,861.06 = 14,459.34/x
  3. Step 3: Cross multiply
    24,531.60x = 33,861.06 × 14,459.34
  4. Step 4: Simplify right side
    24,531.60x = 489,608,579.30
  5. Step 5: Solve for x
    x = 489,608,579.30/24,531.60
  6. Step 6: Final answer
    x = 19,958.28

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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.