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Finding the Fourth Proportional to 14,287.33, 21,431 and 6,498.37

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Solution

The fourth proportional to 14,287.33, 21,431 and 6,498.37 is: 9,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.33 : 21,431 = 6,498.37 : x
  2. Step 2: Convert to fraction form
    14,287.33/21,431 = 6,498.37/x
  3. Step 3: Cross multiply
    14,287.33x = 21,431 × 6,498.37
  4. Step 4: Simplify right side
    14,287.33x = 139,266,567.47
  5. Step 5: Solve for x
    x = 139,266,567.47/14,287.33
  6. Step 6: Final answer
    x = 9,747.56

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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.