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Finding the Fourth Proportional to 14,118.56, 21,177.84 and 5,797.16

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Solution

The fourth proportional to 14,118.56, 21,177.84 and 5,797.16 is: 8,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118.56 : 21,177.84 = 5,797.16 : x
  2. Step 2: Convert to fraction form
    14,118.56/21,177.84 = 5,797.16/x
  3. Step 3: Cross multiply
    14,118.56x = 21,177.84 × 5,797.16
  4. Step 4: Simplify right side
    14,118.56x = 122,771,326.93
  5. Step 5: Solve for x
    x = 122,771,326.93/14,118.56
  6. Step 6: Final answer
    x = 8,695.74

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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.