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Finding the Fourth Proportional to 22,416.98, 30,935.52 and 13,464.64

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Solution

The fourth proportional to 22,416.98, 30,935.52 and 13,464.64 is: 18,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,416.98 : 30,935.52 = 13,464.64 : x
  2. Step 2: Convert to fraction form
    22,416.98/30,935.52 = 13,464.64/x
  3. Step 3: Cross multiply
    22,416.98x = 30,935.52 × 13,464.64
  4. Step 4: Simplify right side
    22,416.98x = 416,535,640.01
  5. Step 5: Solve for x
    x = 416,535,640.01/22,416.98
  6. Step 6: Final answer
    x = 18,581.26

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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.