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Finding the Fourth Proportional to 22,266.16, 30,657.36 and 18,902

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Solution

The fourth proportional to 22,266.16, 30,657.36 and 18,902 is: 26,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,266.16 : 30,657.36 = 18,902 : x
  2. Step 2: Convert to fraction form
    22,266.16/30,657.36 = 18,902/x
  3. Step 3: Cross multiply
    22,266.16x = 30,657.36 × 18,902
  4. Step 4: Simplify right side
    22,266.16x = 579,485,418.72
  5. Step 5: Solve for x
    x = 579,485,418.72/22,266.16
  6. Step 6: Final answer
    x = 26,025.39

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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.