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Finding the Fourth Proportional to 21,564.66, 29,758.10 and 12,133.83

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Solution

The fourth proportional to 21,564.66, 29,758.10 and 12,133.83 is: 16,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.66 : 29,758.10 = 12,133.83 : x
  2. Step 2: Convert to fraction form
    21,564.66/29,758.10 = 12,133.83/x
  3. Step 3: Cross multiply
    21,564.66x = 29,758.10 × 12,133.83
  4. Step 4: Simplify right side
    21,564.66x = 361,079,665.85
  5. Step 5: Solve for x
    x = 361,079,665.85/21,564.66
  6. Step 6: Final answer
    x = 16,744.05

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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.