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Finding the Fourth Proportional to 14,391.37, 21,570.65 and 6,583.78

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Solution

The fourth proportional to 14,391.37, 21,570.65 and 6,583.78 is: 9,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,391.37 : 21,570.65 = 6,583.78 : x
  2. Step 2: Convert to fraction form
    14,391.37/21,570.65 = 6,583.78/x
  3. Step 3: Cross multiply
    14,391.37x = 21,570.65 × 6,583.78
  4. Step 4: Simplify right side
    14,391.37x = 142,016,469.82
  5. Step 5: Solve for x
    x = 142,016,469.82/14,391.37
  6. Step 6: Final answer
    x = 9,868.17

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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.