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Finding the Fourth Proportional to 21,643.68, 29,866.24 and 12,083.20

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Solution

The fourth proportional to 21,643.68, 29,866.24 and 12,083.20 is: 16,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.68 : 29,866.24 = 12,083.20 : x
  2. Step 2: Convert to fraction form
    21,643.68/29,866.24 = 12,083.20/x
  3. Step 3: Cross multiply
    21,643.68x = 29,866.24 × 12,083.20
  4. Step 4: Simplify right side
    21,643.68x = 360,879,751.17
  5. Step 5: Solve for x
    x = 360,879,751.17/21,643.68
  6. Step 6: Final answer
    x = 16,673.68

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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.