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Finding the Fourth Proportional to 15,222, 22,832.28 and 4,832.40

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Solution

The fourth proportional to 15,222, 22,832.28 and 4,832.40 is: 7,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,222 : 22,832.28 = 4,832.40 : x
  2. Step 2: Convert to fraction form
    15,222/22,832.28 = 4,832.40/x
  3. Step 3: Cross multiply
    15,222x = 22,832.28 × 4,832.40
  4. Step 4: Simplify right side
    15,222x = 110,334,709.87
  5. Step 5: Solve for x
    x = 110,334,709.87/15,222
  6. Step 6: Final answer
    x = 7,248.37

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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.