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Finding the Fourth Proportional to 21,641.16, 29,866.66 and 12,083.16

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Solution

The fourth proportional to 21,641.16, 29,866.66 and 12,083.16 is: 16,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.16 : 29,866.66 = 12,083.16 : x
  2. Step 2: Convert to fraction form
    21,641.16/29,866.66 = 12,083.16/x
  3. Step 3: Cross multiply
    21,641.16x = 29,866.66 × 12,083.16
  4. Step 4: Simplify right side
    21,641.16x = 360,883,631.45
  5. Step 5: Solve for x
    x = 360,883,631.45/21,641.16
  6. Step 6: Final answer
    x = 16,675.80

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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.