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Finding the Fourth Proportional to 22,300.08, 30,761.28 and 13,902

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Solution

The fourth proportional to 22,300.08, 30,761.28 and 13,902 is: 19,176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.08 : 30,761.28 = 13,902 : x
  2. Step 2: Convert to fraction form
    22,300.08/30,761.28 = 13,902/x
  3. Step 3: Cross multiply
    22,300.08x = 30,761.28 × 13,902
  4. Step 4: Simplify right side
    22,300.08x = 427,643,314.56
  5. Step 5: Solve for x
    x = 427,643,314.56/22,300.08
  6. Step 6: Final answer
    x = 19,176.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.