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Finding the Fourth Proportional to 14,509.36, 21,734.88 and 7,569.28

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Solution

The fourth proportional to 14,509.36, 21,734.88 and 7,569.28 is: 11,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.36 : 21,734.88 = 7,569.28 : x
  2. Step 2: Convert to fraction form
    14,509.36/21,734.88 = 7,569.28/x
  3. Step 3: Cross multiply
    14,509.36x = 21,734.88 × 7,569.28
  4. Step 4: Simplify right side
    14,509.36x = 164,517,433.85
  5. Step 5: Solve for x
    x = 164,517,433.85/14,509.36
  6. Step 6: Final answer
    x = 11,338.71

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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.