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Finding the Fourth Proportional to 24,056, 36,084.54 and 8,261

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Solution

The fourth proportional to 24,056, 36,084.54 and 8,261 is: 12,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,056 : 36,084.54 = 8,261 : x
  2. Step 2: Convert to fraction form
    24,056/36,084.54 = 8,261/x
  3. Step 3: Cross multiply
    24,056x = 36,084.54 × 8,261
  4. Step 4: Simplify right side
    24,056x = 298,094,384.94
  5. Step 5: Solve for x
    x = 298,094,384.94/24,056
  6. Step 6: Final answer
    x = 12,391.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.