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Finding the Fourth Proportional to 14,400.97, 21,600.74 and 5,637.49

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Solution

The fourth proportional to 14,400.97, 21,600.74 and 5,637.49 is: 8,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.97 : 21,600.74 = 5,637.49 : x
  2. Step 2: Convert to fraction form
    14,400.97/21,600.74 = 5,637.49/x
  3. Step 3: Cross multiply
    14,400.97x = 21,600.74 × 5,637.49
  4. Step 4: Simplify right side
    14,400.97x = 121,773,927.56
  5. Step 5: Solve for x
    x = 121,773,927.56/14,400.97
  6. Step 6: Final answer
    x = 8,455.95

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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.