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Finding the Fourth Proportional to 22,797.86, 31,436.25 and 14,825.30

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Solution

The fourth proportional to 22,797.86, 31,436.25 and 14,825.30 is: 20,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797.86 : 31,436.25 = 14,825.30 : x
  2. Step 2: Convert to fraction form
    22,797.86/31,436.25 = 14,825.30/x
  3. Step 3: Cross multiply
    22,797.86x = 31,436.25 × 14,825.30
  4. Step 4: Simplify right side
    22,797.86x = 466,051,837.13
  5. Step 5: Solve for x
    x = 466,051,837.13/22,797.86
  6. Step 6: Final answer
    x = 20,442.79

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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.