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Finding the Fourth Proportional to 12,822.70, 19,242.64 and 4,502.74

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Solution

The fourth proportional to 12,822.70, 19,242.64 and 4,502.74 is: 6,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.70 : 19,242.64 = 4,502.74 : x
  2. Step 2: Convert to fraction form
    12,822.70/19,242.64 = 4,502.74/x
  3. Step 3: Cross multiply
    12,822.70x = 19,242.64 × 4,502.74
  4. Step 4: Simplify right side
    12,822.70x = 86,644,604.83
  5. Step 5: Solve for x
    x = 86,644,604.83/12,822.70
  6. Step 6: Final answer
    x = 6,757.13

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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.