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Finding the Fourth Proportional to 14,832, 22,248 and 4,443.75

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Solution

The fourth proportional to 14,832, 22,248 and 4,443.75 is: 6,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,832 : 22,248 = 4,443.75 : x
  2. Step 2: Convert to fraction form
    14,832/22,248 = 4,443.75/x
  3. Step 3: Cross multiply
    14,832x = 22,248 × 4,443.75
  4. Step 4: Simplify right side
    14,832x = 98,864,550
  5. Step 5: Solve for x
    x = 98,864,550/14,832
  6. Step 6: Final answer
    x = 6,665.63

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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.