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Finding the Fourth Proportional to 21,641.40, 29,865 and 12,080.73

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Solution

The fourth proportional to 21,641.40, 29,865 and 12,080.73 is: 16,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.40 : 29,865 = 12,080.73 : x
  2. Step 2: Convert to fraction form
    21,641.40/29,865 = 12,080.73/x
  3. Step 3: Cross multiply
    21,641.40x = 29,865 × 12,080.73
  4. Step 4: Simplify right side
    21,641.40x = 360,791,001.45
  5. Step 5: Solve for x
    x = 360,791,001.45/21,641.40
  6. Step 6: Final answer
    x = 16,671.33

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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.