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Finding the Fourth Proportional to 22,356.16, 30,853.34 and 14,414.92

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Solution

The fourth proportional to 22,356.16, 30,853.34 and 14,414.92 is: 19,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.16 : 30,853.34 = 14,414.92 : x
  2. Step 2: Convert to fraction form
    22,356.16/30,853.34 = 14,414.92/x
  3. Step 3: Cross multiply
    22,356.16x = 30,853.34 × 14,414.92
  4. Step 4: Simplify right side
    22,356.16x = 444,748,427.83
  5. Step 5: Solve for x
    x = 444,748,427.83/22,356.16
  6. Step 6: Final answer
    x = 19,893.78

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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.