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Finding the Fourth Proportional to 14,564.57, 21,846.63 and 4,176.32

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Solution

The fourth proportional to 14,564.57, 21,846.63 and 4,176.32 is: 6,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.57 : 21,846.63 = 4,176.32 : x
  2. Step 2: Convert to fraction form
    14,564.57/21,846.63 = 4,176.32/x
  3. Step 3: Cross multiply
    14,564.57x = 21,846.63 × 4,176.32
  4. Step 4: Simplify right side
    14,564.57x = 91,238,517.80
  5. Step 5: Solve for x
    x = 91,238,517.80/14,564.57
  6. Step 6: Final answer
    x = 6,264.42

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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.