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Finding the Fourth Proportional to 14,969.66, 22,454.30 and 5,735.66

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Solution

The fourth proportional to 14,969.66, 22,454.30 and 5,735.66 is: 8,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.66 : 22,454.30 = 5,735.66 : x
  2. Step 2: Convert to fraction form
    14,969.66/22,454.30 = 5,735.66/x
  3. Step 3: Cross multiply
    14,969.66x = 22,454.30 × 5,735.66
  4. Step 4: Simplify right side
    14,969.66x = 128,790,230.34
  5. Step 5: Solve for x
    x = 128,790,230.34/14,969.66
  6. Step 6: Final answer
    x = 8,603.42

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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.