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Finding the Fourth Proportional to 14,641.50, 21,962.61 and 5,282.31

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Solution

The fourth proportional to 14,641.50, 21,962.61 and 5,282.31 is: 7,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.50 : 21,962.61 = 5,282.31 : x
  2. Step 2: Convert to fraction form
    14,641.50/21,962.61 = 5,282.31/x
  3. Step 3: Cross multiply
    14,641.50x = 21,962.61 × 5,282.31
  4. Step 4: Simplify right side
    14,641.50x = 116,013,314.43
  5. Step 5: Solve for x
    x = 116,013,314.43/14,641.50
  6. Step 6: Final answer
    x = 7,923.59

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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.