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Finding the Fourth Proportional to 24,556, 36,834 and 8,140

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Solution

The fourth proportional to 24,556, 36,834 and 8,140 is: 12,210

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,556 : 36,834 = 8,140 : x
  2. Step 2: Convert to fraction form
    24,556/36,834 = 8,140/x
  3. Step 3: Cross multiply
    24,556x = 36,834 × 8,140
  4. Step 4: Simplify right side
    24,556x = 299,828,760
  5. Step 5: Solve for x
    x = 299,828,760/24,556
  6. Step 6: Final answer
    x = 12,210

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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.