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Finding the Fourth Proportional to 22,402.90, 30,914.19 and 12,972.06

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Solution

The fourth proportional to 22,402.90, 30,914.19 and 12,972.06 is: 17,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.90 : 30,914.19 = 12,972.06 : x
  2. Step 2: Convert to fraction form
    22,402.90/30,914.19 = 12,972.06/x
  3. Step 3: Cross multiply
    22,402.90x = 30,914.19 × 12,972.06
  4. Step 4: Simplify right side
    22,402.90x = 401,020,727.53
  5. Step 5: Solve for x
    x = 401,020,727.53/22,402.90
  6. Step 6: Final answer
    x = 17,900.39

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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.