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Finding the Fourth Proportional to 12,257.29, 16,932.14 and 11,802.12

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Solution

The fourth proportional to 12,257.29, 16,932.14 and 11,802.12 is: 16,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.29 : 16,932.14 = 11,802.12 : x
  2. Step 2: Convert to fraction form
    12,257.29/16,932.14 = 11,802.12/x
  3. Step 3: Cross multiply
    12,257.29x = 16,932.14 × 11,802.12
  4. Step 4: Simplify right side
    12,257.29x = 199,835,148.14
  5. Step 5: Solve for x
    x = 199,835,148.14/12,257.29
  6. Step 6: Final answer
    x = 16,303.37

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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.