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Finding the Fourth Proportional to 22,009.78, 30,373.38 and 11,938.18

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Solution

The fourth proportional to 22,009.78, 30,373.38 and 11,938.18 is: 16,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.78 : 30,373.38 = 11,938.18 : x
  2. Step 2: Convert to fraction form
    22,009.78/30,373.38 = 11,938.18/x
  3. Step 3: Cross multiply
    22,009.78x = 30,373.38 × 11,938.18
  4. Step 4: Simplify right side
    22,009.78x = 362,602,877.65
  5. Step 5: Solve for x
    x = 362,602,877.65/22,009.78
  6. Step 6: Final answer
    x = 16,474.63

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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.