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Finding the Fourth Proportional to 16,872.64, 23,284.12 and 9,319.47

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Solution

The fourth proportional to 16,872.64, 23,284.12 and 9,319.47 is: 12,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872.64 : 23,284.12 = 9,319.47 : x
  2. Step 2: Convert to fraction form
    16,872.64/23,284.12 = 9,319.47/x
  3. Step 3: Cross multiply
    16,872.64x = 23,284.12 × 9,319.47
  4. Step 4: Simplify right side
    16,872.64x = 216,995,657.82
  5. Step 5: Solve for x
    x = 216,995,657.82/16,872.64
  6. Step 6: Final answer
    x = 12,860.80

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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.