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Finding the Fourth Proportional to 22,277.34, 30,742.64 and 12,205.77

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Solution

The fourth proportional to 22,277.34, 30,742.64 and 12,205.77 is: 16,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277.34 : 30,742.64 = 12,205.77 : x
  2. Step 2: Convert to fraction form
    22,277.34/30,742.64 = 12,205.77/x
  3. Step 3: Cross multiply
    22,277.34x = 30,742.64 × 12,205.77
  4. Step 4: Simplify right side
    22,277.34x = 375,237,532.00
  5. Step 5: Solve for x
    x = 375,237,532.00/22,277.34
  6. Step 6: Final answer
    x = 16,843.91

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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.