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Finding the Fourth Proportional to 16,230.14, 24,345.21 and 3,918.14

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Solution

The fourth proportional to 16,230.14, 24,345.21 and 3,918.14 is: 5,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.14 : 24,345.21 = 3,918.14 : x
  2. Step 2: Convert to fraction form
    16,230.14/24,345.21 = 3,918.14/x
  3. Step 3: Cross multiply
    16,230.14x = 24,345.21 × 3,918.14
  4. Step 4: Simplify right side
    16,230.14x = 95,387,941.11
  5. Step 5: Solve for x
    x = 95,387,941.11/16,230.14
  6. Step 6: Final answer
    x = 5,877.21

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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.