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Finding the Fourth Proportional to 22,970.18, 31,628.40 and 20,121.14

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Solution

The fourth proportional to 22,970.18, 31,628.40 and 20,121.14 is: 27,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.18 : 31,628.40 = 20,121.14 : x
  2. Step 2: Convert to fraction form
    22,970.18/31,628.40 = 20,121.14/x
  3. Step 3: Cross multiply
    22,970.18x = 31,628.40 × 20,121.14
  4. Step 4: Simplify right side
    22,970.18x = 636,399,464.38
  5. Step 5: Solve for x
    x = 636,399,464.38/22,970.18
  6. Step 6: Final answer
    x = 27,705.46

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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.