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Finding the Fourth Proportional to 22,855.36, 34,277.10 and 9,700.96

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Solution

The fourth proportional to 22,855.36, 34,277.10 and 9,700.96 is: 14,548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.36 : 34,277.10 = 9,700.96 : x
  2. Step 2: Convert to fraction form
    22,855.36/34,277.10 = 9,700.96/x
  3. Step 3: Cross multiply
    22,855.36x = 34,277.10 × 9,700.96
  4. Step 4: Simplify right side
    22,855.36x = 332,520,776.02
  5. Step 5: Solve for x
    x = 332,520,776.02/22,855.36
  6. Step 6: Final answer
    x = 14,548.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.