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Finding the Fourth Proportional to 14,409.54, 21,624.03 and 5,643.36

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Solution

The fourth proportional to 14,409.54, 21,624.03 and 5,643.36 is: 8,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.54 : 21,624.03 = 5,643.36 : x
  2. Step 2: Convert to fraction form
    14,409.54/21,624.03 = 5,643.36/x
  3. Step 3: Cross multiply
    14,409.54x = 21,624.03 × 5,643.36
  4. Step 4: Simplify right side
    14,409.54x = 122,032,185.94
  5. Step 5: Solve for x
    x = 122,032,185.94/14,409.54
  6. Step 6: Final answer
    x = 8,468.85

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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.