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Finding the Fourth Proportional to 24,085.36, 36,114.18 and 9,281.80

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Solution

The fourth proportional to 24,085.36, 36,114.18 and 9,281.80 is: 13,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,085.36 : 36,114.18 = 9,281.80 : x
  2. Step 2: Convert to fraction form
    24,085.36/36,114.18 = 9,281.80/x
  3. Step 3: Cross multiply
    24,085.36x = 36,114.18 × 9,281.80
  4. Step 4: Simplify right side
    24,085.36x = 335,204,595.92
  5. Step 5: Solve for x
    x = 335,204,595.92/24,085.36
  6. Step 6: Final answer
    x = 13,917.36

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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.