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Finding the Fourth Proportional to 14,188.82, 21,281.75 and 6,291.48

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Solution

The fourth proportional to 14,188.82, 21,281.75 and 6,291.48 is: 9,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.82 : 21,281.75 = 6,291.48 : x
  2. Step 2: Convert to fraction form
    14,188.82/21,281.75 = 6,291.48/x
  3. Step 3: Cross multiply
    14,188.82x = 21,281.75 × 6,291.48
  4. Step 4: Simplify right side
    14,188.82x = 133,893,673.03
  5. Step 5: Solve for x
    x = 133,893,673.03/14,188.82
  6. Step 6: Final answer
    x = 9,436.56

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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.