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Finding the Fourth Proportional to 24,356, 36,534 and 7,940

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Solution

The fourth proportional to 24,356, 36,534 and 7,940 is: 11,910

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356 : 36,534 = 7,940 : x
  2. Step 2: Convert to fraction form
    24,356/36,534 = 7,940/x
  3. Step 3: Cross multiply
    24,356x = 36,534 × 7,940
  4. Step 4: Simplify right side
    24,356x = 290,079,960
  5. Step 5: Solve for x
    x = 290,079,960/24,356
  6. Step 6: Final answer
    x = 11,910

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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.