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Finding the Fourth Proportional to 11,623.31, 16,053.23 and 9,002.42

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Solution

The fourth proportional to 11,623.31, 16,053.23 and 9,002.42 is: 12,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.31 : 16,053.23 = 9,002.42 : x
  2. Step 2: Convert to fraction form
    11,623.31/16,053.23 = 9,002.42/x
  3. Step 3: Cross multiply
    11,623.31x = 16,053.23 × 9,002.42
  4. Step 4: Simplify right side
    11,623.31x = 144,517,918.82
  5. Step 5: Solve for x
    x = 144,517,918.82/11,623.31
  6. Step 6: Final answer
    x = 12,433.46

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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.