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Finding the Fourth Proportional to 24,776, 37,164 and 8,360

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Solution

The fourth proportional to 24,776, 37,164 and 8,360 is: 12,540

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776 : 37,164 = 8,360 : x
  2. Step 2: Convert to fraction form
    24,776/37,164 = 8,360/x
  3. Step 3: Cross multiply
    24,776x = 37,164 × 8,360
  4. Step 4: Simplify right side
    24,776x = 310,691,040
  5. Step 5: Solve for x
    x = 310,691,040/24,776
  6. Step 6: Final answer
    x = 12,540

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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.