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Finding the Fourth Proportional to 14,267.27, 19,682.19 and 9,233.12

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Solution

The fourth proportional to 14,267.27, 19,682.19 and 9,233.12 is: 12,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,267.27 : 19,682.19 = 9,233.12 : x
  2. Step 2: Convert to fraction form
    14,267.27/19,682.19 = 9,233.12/x
  3. Step 3: Cross multiply
    14,267.27x = 19,682.19 × 9,233.12
  4. Step 4: Simplify right side
    14,267.27x = 181,728,071.34
  5. Step 5: Solve for x
    x = 181,728,071.34/14,267.27
  6. Step 6: Final answer
    x = 12,737.41

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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.