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Finding the Fourth Proportional to 16,218.12, 24,329.88 and 9,974.10

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Solution

The fourth proportional to 16,218.12, 24,329.88 and 9,974.10 is: 14,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.12 : 24,329.88 = 9,974.10 : x
  2. Step 2: Convert to fraction form
    16,218.12/24,329.88 = 9,974.10/x
  3. Step 3: Cross multiply
    16,218.12x = 24,329.88 × 9,974.10
  4. Step 4: Simplify right side
    16,218.12x = 242,668,656.11
  5. Step 5: Solve for x
    x = 242,668,656.11/16,218.12
  6. Step 6: Final answer
    x = 14,962.81

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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.