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Finding the Fourth Proportional to 24,260.40, 36,392.28 and 9,464.40

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Solution

The fourth proportional to 24,260.40, 36,392.28 and 9,464.40 is: 14,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,260.40 : 36,392.28 = 9,464.40 : x
  2. Step 2: Convert to fraction form
    24,260.40/36,392.28 = 9,464.40/x
  3. Step 3: Cross multiply
    24,260.40x = 36,392.28 × 9,464.40
  4. Step 4: Simplify right side
    24,260.40x = 344,431,094.83
  5. Step 5: Solve for x
    x = 344,431,094.83/24,260.40
  6. Step 6: Final answer
    x = 14,197.26

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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.