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Finding the Fourth Proportional to 24,492, 36,738 and 8,076

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Solution

The fourth proportional to 24,492, 36,738 and 8,076 is: 12,114

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492 : 36,738 = 8,076 : x
  2. Step 2: Convert to fraction form
    24,492/36,738 = 8,076/x
  3. Step 3: Cross multiply
    24,492x = 36,738 × 8,076
  4. Step 4: Simplify right side
    24,492x = 296,696,088
  5. Step 5: Solve for x
    x = 296,696,088/24,492
  6. Step 6: Final answer
    x = 12,114

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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.