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Finding the Fourth Proportional to 16,012.80, 22,083.84 and 12,867.84

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Solution

The fourth proportional to 16,012.80, 22,083.84 and 12,867.84 is: 17,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.80 : 22,083.84 = 12,867.84 : x
  2. Step 2: Convert to fraction form
    16,012.80/22,083.84 = 12,867.84/x
  3. Step 3: Cross multiply
    16,012.80x = 22,083.84 × 12,867.84
  4. Step 4: Simplify right side
    16,012.80x = 284,171,319.71
  5. Step 5: Solve for x
    x = 284,171,319.71/16,012.80
  6. Step 6: Final answer
    x = 17,746.51

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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.