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Finding the Fourth Proportional to 16,872.86, 23,284.10 and 9,319.03

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Solution

The fourth proportional to 16,872.86, 23,284.10 and 9,319.03 is: 12,860.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872.86 : 23,284.10 = 9,319.03 : x
  2. Step 2: Convert to fraction form
    16,872.86/23,284.10 = 9,319.03/x
  3. Step 3: Cross multiply
    16,872.86x = 23,284.10 × 9,319.03
  4. Step 4: Simplify right side
    16,872.86x = 216,985,226.42
  5. Step 5: Solve for x
    x = 216,985,226.42/16,872.86
  6. Step 6: Final answer
    x = 12,860.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.