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Finding the Fourth Proportional to 24,226.07, 36,338.07 and 7,585.74

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Solution

The fourth proportional to 24,226.07, 36,338.07 and 7,585.74 is: 11,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226.07 : 36,338.07 = 7,585.74 : x
  2. Step 2: Convert to fraction form
    24,226.07/36,338.07 = 7,585.74/x
  3. Step 3: Cross multiply
    24,226.07x = 36,338.07 × 7,585.74
  4. Step 4: Simplify right side
    24,226.07x = 275,650,969.43
  5. Step 5: Solve for x
    x = 275,650,969.43/24,226.07
  6. Step 6: Final answer
    x = 11,378.28

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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.