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Finding the Fourth Proportional to 14,233.27, 19,651.06 and 9,205.20

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Solution

The fourth proportional to 14,233.27, 19,651.06 and 9,205.20 is: 12,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.27 : 19,651.06 = 9,205.20 : x
  2. Step 2: Convert to fraction form
    14,233.27/19,651.06 = 9,205.20/x
  3. Step 3: Cross multiply
    14,233.27x = 19,651.06 × 9,205.20
  4. Step 4: Simplify right side
    14,233.27x = 180,891,937.51
  5. Step 5: Solve for x
    x = 180,891,937.51/14,233.27
  6. Step 6: Final answer
    x = 12,709.09

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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.