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Finding the Fourth Proportional to 14,087.57, 21,142.01 and 9,634.59

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Solution

The fourth proportional to 14,087.57, 21,142.01 and 9,634.59 is: 14,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.57 : 21,142.01 = 9,634.59 : x
  2. Step 2: Convert to fraction form
    14,087.57/21,142.01 = 9,634.59/x
  3. Step 3: Cross multiply
    14,087.57x = 21,142.01 × 9,634.59
  4. Step 4: Simplify right side
    14,087.57x = 203,694,549.95
  5. Step 5: Solve for x
    x = 203,694,549.95/14,087.57
  6. Step 6: Final answer
    x = 14,459.17

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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.