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Finding the Fourth Proportional to 24,226.36, 36,319.08 and 9,445.60

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Solution

The fourth proportional to 24,226.36, 36,319.08 and 9,445.60 is: 14,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226.36 : 36,319.08 = 9,445.60 : x
  2. Step 2: Convert to fraction form
    24,226.36/36,319.08 = 9,445.60/x
  3. Step 3: Cross multiply
    24,226.36x = 36,319.08 × 9,445.60
  4. Step 4: Simplify right side
    24,226.36x = 343,055,502.05
  5. Step 5: Solve for x
    x = 343,055,502.05/24,226.36
  6. Step 6: Final answer
    x = 14,160.42

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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.