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Finding the Fourth Proportional to 12,225.84, 16,871.40 and 6,636.84

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Solution

The fourth proportional to 12,225.84, 16,871.40 and 6,636.84 is: 9,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.84 : 16,871.40 = 6,636.84 : x
  2. Step 2: Convert to fraction form
    12,225.84/16,871.40 = 6,636.84/x
  3. Step 3: Cross multiply
    12,225.84x = 16,871.40 × 6,636.84
  4. Step 4: Simplify right side
    12,225.84x = 111,972,782.38
  5. Step 5: Solve for x
    x = 111,972,782.38/12,225.84
  6. Step 6: Final answer
    x = 9,158.70

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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.