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Finding the Fourth Proportional to 12,523.19, 17,282.03 and 6,780.70

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Solution

The fourth proportional to 12,523.19, 17,282.03 and 6,780.70 is: 9,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.19 : 17,282.03 = 6,780.70 : x
  2. Step 2: Convert to fraction form
    12,523.19/17,282.03 = 6,780.70/x
  3. Step 3: Cross multiply
    12,523.19x = 17,282.03 × 6,780.70
  4. Step 4: Simplify right side
    12,523.19x = 117,184,260.82
  5. Step 5: Solve for x
    x = 117,184,260.82/12,523.19
  6. Step 6: Final answer
    x = 9,357.38

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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.