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Finding the Fourth Proportional to 24,222, 36,347.58 and 10,371

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Solution

The fourth proportional to 24,222, 36,347.58 and 10,371 is: 15,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,222 : 36,347.58 = 10,371 : x
  2. Step 2: Convert to fraction form
    24,222/36,347.58 = 10,371/x
  3. Step 3: Cross multiply
    24,222x = 36,347.58 × 10,371
  4. Step 4: Simplify right side
    24,222x = 376,960,752.18
  5. Step 5: Solve for x
    x = 376,960,752.18/24,222
  6. Step 6: Final answer
    x = 15,562.74

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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.