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Finding the Fourth Proportional to 22,175.64, 30,602.34 and 12,744.18

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Solution

The fourth proportional to 22,175.64, 30,602.34 and 12,744.18 is: 17,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,175.64 : 30,602.34 = 12,744.18 : x
  2. Step 2: Convert to fraction form
    22,175.64/30,602.34 = 12,744.18/x
  3. Step 3: Cross multiply
    22,175.64x = 30,602.34 × 12,744.18
  4. Step 4: Simplify right side
    22,175.64x = 390,001,729.38
  5. Step 5: Solve for x
    x = 390,001,729.38/22,175.64
  6. Step 6: Final answer
    x = 17,586.94

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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.