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Finding the Fourth Proportional to 24,194.40, 36,302.40 and 11,709.60

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Solution

The fourth proportional to 24,194.40, 36,302.40 and 11,709.60 is: 17,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.40 : 36,302.40 = 11,709.60 : x
  2. Step 2: Convert to fraction form
    24,194.40/36,302.40 = 11,709.60/x
  3. Step 3: Cross multiply
    24,194.40x = 36,302.40 × 11,709.60
  4. Step 4: Simplify right side
    24,194.40x = 425,086,583.04
  5. Step 5: Solve for x
    x = 425,086,583.04/24,194.40
  6. Step 6: Final answer
    x = 17,569.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.