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Finding the Fourth Proportional to 24,618, 36,927 and 10,026

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Solution

The fourth proportional to 24,618, 36,927 and 10,026 is: 15,039

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,618 : 36,927 = 10,026 : x
  2. Step 2: Convert to fraction form
    24,618/36,927 = 10,026/x
  3. Step 3: Cross multiply
    24,618x = 36,927 × 10,026
  4. Step 4: Simplify right side
    24,618x = 370,230,102
  5. Step 5: Solve for x
    x = 370,230,102/24,618
  6. Step 6: Final answer
    x = 15,039

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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.