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Finding the Fourth Proportional to 14,400.39, 21,602.39 and 5,634.16

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Solution

The fourth proportional to 14,400.39, 21,602.39 and 5,634.16 is: 8,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.39 : 21,602.39 = 5,634.16 : x
  2. Step 2: Convert to fraction form
    14,400.39/21,602.39 = 5,634.16/x
  3. Step 3: Cross multiply
    14,400.39x = 21,602.39 × 5,634.16
  4. Step 4: Simplify right side
    14,400.39x = 121,711,321.64
  5. Step 5: Solve for x
    x = 121,711,321.64/14,400.39
  6. Step 6: Final answer
    x = 8,451.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.