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Finding the Fourth Proportional to 24,223, 36,349.08 and 10,372

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Solution

The fourth proportional to 24,223, 36,349.08 and 10,372 is: 15,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223 : 36,349.08 = 10,372 : x
  2. Step 2: Convert to fraction form
    24,223/36,349.08 = 10,372/x
  3. Step 3: Cross multiply
    24,223x = 36,349.08 × 10,372
  4. Step 4: Simplify right side
    24,223x = 377,012,657.76
  5. Step 5: Solve for x
    x = 377,012,657.76/24,223
  6. Step 6: Final answer
    x = 15,564.24

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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.