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Finding the Fourth Proportional to 22,860.86, 34,291.28 and 9,704.00

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Solution

The fourth proportional to 22,860.86, 34,291.28 and 9,704.00 is: 14,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,860.86 : 34,291.28 = 9,704.00 : x
  2. Step 2: Convert to fraction form
    22,860.86/34,291.28 = 9,704.00/x
  3. Step 3: Cross multiply
    22,860.86x = 34,291.28 × 9,704.00
  4. Step 4: Simplify right side
    22,860.86x = 332,762,361.14
  5. Step 5: Solve for x
    x = 332,762,361.14/22,860.86
  6. Step 6: Final answer
    x = 14,555.99

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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.