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Finding the Fourth Proportional to 16,024.12, 24,017.14 and 6,662.14

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Solution

The fourth proportional to 16,024.12, 24,017.14 and 6,662.14 is: 9,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.12 : 24,017.14 = 6,662.14 : x
  2. Step 2: Convert to fraction form
    16,024.12/24,017.14 = 6,662.14/x
  3. Step 3: Cross multiply
    16,024.12x = 24,017.14 × 6,662.14
  4. Step 4: Simplify right side
    16,024.12x = 160,005,549.08
  5. Step 5: Solve for x
    x = 160,005,549.08/16,024.12
  6. Step 6: Final answer
    x = 9,985.29

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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.