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Finding the Fourth Proportional to 21,137.14, 29,169.45 and 11,705.89

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Solution

The fourth proportional to 21,137.14, 29,169.45 and 11,705.89 is: 16,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.14 : 29,169.45 = 11,705.89 : x
  2. Step 2: Convert to fraction form
    21,137.14/29,169.45 = 11,705.89/x
  3. Step 3: Cross multiply
    21,137.14x = 29,169.45 × 11,705.89
  4. Step 4: Simplify right side
    21,137.14x = 341,454,373.06
  5. Step 5: Solve for x
    x = 341,454,373.06/21,137.14
  6. Step 6: Final answer
    x = 16,154.24

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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.