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Finding the Fourth Proportional to 22,009.72, 30,373.14 and 11,938

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Solution

The fourth proportional to 22,009.72, 30,373.14 and 11,938 is: 16,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.72 : 30,373.14 = 11,938 : x
  2. Step 2: Convert to fraction form
    22,009.72/30,373.14 = 11,938/x
  3. Step 3: Cross multiply
    22,009.72x = 30,373.14 × 11,938
  4. Step 4: Simplify right side
    22,009.72x = 362,594,545.32
  5. Step 5: Solve for x
    x = 362,594,545.32/22,009.72
  6. Step 6: Final answer
    x = 16,474.29

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1.5x scale

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.