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Finding the Fourth Proportional to 12,366.84, 17,065.38 and 7,330.80

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Solution

The fourth proportional to 12,366.84, 17,065.38 and 7,330.80 is: 10,115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366.84 : 17,065.38 = 7,330.80 : x
  2. Step 2: Convert to fraction form
    12,366.84/17,065.38 = 7,330.80/x
  3. Step 3: Cross multiply
    12,366.84x = 17,065.38 × 7,330.80
  4. Step 4: Simplify right side
    12,366.84x = 125,102,887.70
  5. Step 5: Solve for x
    x = 125,102,887.70/12,366.84
  6. Step 6: Final answer
    x = 10,115.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.