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Finding the Fourth Proportional to 15,327, 22,990.50 and 4,383

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Solution

The fourth proportional to 15,327, 22,990.50 and 4,383 is: 6,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,327 : 22,990.50 = 4,383 : x
  2. Step 2: Convert to fraction form
    15,327/22,990.50 = 4,383/x
  3. Step 3: Cross multiply
    15,327x = 22,990.50 × 4,383
  4. Step 4: Simplify right side
    15,327x = 100,767,361.50
  5. Step 5: Solve for x
    x = 100,767,361.50/15,327
  6. Step 6: Final answer
    x = 6,574.50

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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.