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Finding the Fourth Proportional to 22,775.99, 31,430.78 and 12,704.42

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Solution

The fourth proportional to 22,775.99, 31,430.78 and 12,704.42 is: 17,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.99 : 31,430.78 = 12,704.42 : x
  2. Step 2: Convert to fraction form
    22,775.99/31,430.78 = 12,704.42/x
  3. Step 3: Cross multiply
    22,775.99x = 31,430.78 × 12,704.42
  4. Step 4: Simplify right side
    22,775.99x = 399,309,609.37
  5. Step 5: Solve for x
    x = 399,309,609.37/22,775.99
  6. Step 6: Final answer
    x = 17,532.05

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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.