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Finding the Fourth Proportional to 18,283, 27,424.66 and 4,432

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Solution

The fourth proportional to 18,283, 27,424.66 and 4,432 is: 6,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,283 : 27,424.66 = 4,432 : x
  2. Step 2: Convert to fraction form
    18,283/27,424.66 = 4,432/x
  3. Step 3: Cross multiply
    18,283x = 27,424.66 × 4,432
  4. Step 4: Simplify right side
    18,283x = 121,546,093.12
  5. Step 5: Solve for x
    x = 121,546,093.12/18,283
  6. Step 6: Final answer
    x = 6,648.04

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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.