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Finding the Fourth Proportional to 12,347.16, 18,514.44 and 4,021.82

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Solution

The fourth proportional to 12,347.16, 18,514.44 and 4,021.82 is: 6,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.16 : 18,514.44 = 4,021.82 : x
  2. Step 2: Convert to fraction form
    12,347.16/18,514.44 = 4,021.82/x
  3. Step 3: Cross multiply
    12,347.16x = 18,514.44 × 4,021.82
  4. Step 4: Simplify right side
    12,347.16x = 74,461,745.08
  5. Step 5: Solve for x
    x = 74,461,745.08/12,347.16
  6. Step 6: Final answer
    x = 6,030.68

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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.