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Finding the Fourth Proportional to 14,233.31, 21,359.19 and 6,442.19

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Solution

The fourth proportional to 14,233.31, 21,359.19 and 6,442.19 is: 9,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.31 : 21,359.19 = 6,442.19 : x
  2. Step 2: Convert to fraction form
    14,233.31/21,359.19 = 6,442.19/x
  3. Step 3: Cross multiply
    14,233.31x = 21,359.19 × 6,442.19
  4. Step 4: Simplify right side
    14,233.31x = 137,599,960.23
  5. Step 5: Solve for x
    x = 137,599,960.23/14,233.31
  6. Step 6: Final answer
    x = 9,667.46

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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.