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Finding the Fourth Proportional to 22,857.88, 34,289.52 and 9,702.94

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Solution

The fourth proportional to 22,857.88, 34,289.52 and 9,702.94 is: 14,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.88 : 34,289.52 = 9,702.94 : x
  2. Step 2: Convert to fraction form
    22,857.88/34,289.52 = 9,702.94/x
  3. Step 3: Cross multiply
    22,857.88x = 34,289.52 × 9,702.94
  4. Step 4: Simplify right side
    22,857.88x = 332,709,155.19
  5. Step 5: Solve for x
    x = 332,709,155.19/22,857.88
  6. Step 6: Final answer
    x = 14,555.56

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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.