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Finding the Fourth Proportional to 14,059.17, 21,089.16 and 4,198.64

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Solution

The fourth proportional to 14,059.17, 21,089.16 and 4,198.64 is: 6,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.17 : 21,089.16 = 4,198.64 : x
  2. Step 2: Convert to fraction form
    14,059.17/21,089.16 = 4,198.64/x
  3. Step 3: Cross multiply
    14,059.17x = 21,089.16 × 4,198.64
  4. Step 4: Simplify right side
    14,059.17x = 88,545,685.30
  5. Step 5: Solve for x
    x = 88,545,685.30/14,059.17
  6. Step 6: Final answer
    x = 6,298.07

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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.