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Finding the Fourth Proportional to 14,107.61, 21,161.18 and 3,434.08

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Solution

The fourth proportional to 14,107.61, 21,161.18 and 3,434.08 is: 5,151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.61 : 21,161.18 = 3,434.08 : x
  2. Step 2: Convert to fraction form
    14,107.61/21,161.18 = 3,434.08/x
  3. Step 3: Cross multiply
    14,107.61x = 21,161.18 × 3,434.08
  4. Step 4: Simplify right side
    14,107.61x = 72,669,185.01
  5. Step 5: Solve for x
    x = 72,669,185.01/14,107.61
  6. Step 6: Final answer
    x = 5,151.06

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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.