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Finding the Fourth Proportional to 14,282.52, 21,400.74 and 8,799

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Solution

The fourth proportional to 14,282.52, 21,400.74 and 8,799 is: 13,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.52 : 21,400.74 = 8,799 : x
  2. Step 2: Convert to fraction form
    14,282.52/21,400.74 = 8,799/x
  3. Step 3: Cross multiply
    14,282.52x = 21,400.74 × 8,799
  4. Step 4: Simplify right side
    14,282.52x = 188,305,111.26
  5. Step 5: Solve for x
    x = 188,305,111.26/14,282.52
  6. Step 6: Final answer
    x = 13,184.31

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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.