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Finding the Fourth Proportional to 12,228.70, 18,330.90 and 5,643.40

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Solution

The fourth proportional to 12,228.70, 18,330.90 and 5,643.40 is: 8,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.70 : 18,330.90 = 5,643.40 : x
  2. Step 2: Convert to fraction form
    12,228.70/18,330.90 = 5,643.40/x
  3. Step 3: Cross multiply
    12,228.70x = 18,330.90 × 5,643.40
  4. Step 4: Simplify right side
    12,228.70x = 103,448,601.06
  5. Step 5: Solve for x
    x = 103,448,601.06/12,228.70
  6. Step 6: Final answer
    x = 8,459.49

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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.