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Finding the Fourth Proportional to 12,029.80, 18,012.30 and 9,416.20

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Solution

The fourth proportional to 12,029.80, 18,012.30 and 9,416.20 is: 14,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.80 : 18,012.30 = 9,416.20 : x
  2. Step 2: Convert to fraction form
    12,029.80/18,012.30 = 9,416.20/x
  3. Step 3: Cross multiply
    12,029.80x = 18,012.30 × 9,416.20
  4. Step 4: Simplify right side
    12,029.80x = 169,607,419.26
  5. Step 5: Solve for x
    x = 169,607,419.26/12,029.80
  6. Step 6: Final answer
    x = 14,098.94

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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.