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Finding the Fourth Proportional to 16,228.88, 24,334 and 6,356.60

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Solution

The fourth proportional to 16,228.88, 24,334 and 6,356.60 is: 9,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.88 : 24,334 = 6,356.60 : x
  2. Step 2: Convert to fraction form
    16,228.88/24,334 = 6,356.60/x
  3. Step 3: Cross multiply
    16,228.88x = 24,334 × 6,356.60
  4. Step 4: Simplify right side
    16,228.88x = 154,681,504.40
  5. Step 5: Solve for x
    x = 154,681,504.40/16,228.88
  6. Step 6: Final answer
    x = 9,531.25

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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.