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Finding the Fourth Proportional to 24,864.01, 37,295.10 and 8,223.64

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Solution

The fourth proportional to 24,864.01, 37,295.10 and 8,223.64 is: 12,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864.01 : 37,295.10 = 8,223.64 : x
  2. Step 2: Convert to fraction form
    24,864.01/37,295.10 = 8,223.64/x
  3. Step 3: Cross multiply
    24,864.01x = 37,295.10 × 8,223.64
  4. Step 4: Simplify right side
    24,864.01x = 306,701,476.16
  5. Step 5: Solve for x
    x = 306,701,476.16/24,864.01
  6. Step 6: Final answer
    x = 12,335.16

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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.