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Finding the Fourth Proportional to 14,686.62, 20,268.76 and 8,400.22

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Solution

The fourth proportional to 14,686.62, 20,268.76 and 8,400.22 is: 11,593.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.62 : 20,268.76 = 8,400.22 : x
  2. Step 2: Convert to fraction form
    14,686.62/20,268.76 = 8,400.22/x
  3. Step 3: Cross multiply
    14,686.62x = 20,268.76 × 8,400.22
  4. Step 4: Simplify right side
    14,686.62x = 170,262,043.13
  5. Step 5: Solve for x
    x = 170,262,043.13/14,686.62
  6. Step 6: Final answer
    x = 11,593.00

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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.