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Finding the Fourth Proportional to 14,744.70, 22,092.40 and 6,412.22

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Solution

The fourth proportional to 14,744.70, 22,092.40 and 6,412.22 is: 9,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.70 : 22,092.40 = 6,412.22 : x
  2. Step 2: Convert to fraction form
    14,744.70/22,092.40 = 6,412.22/x
  3. Step 3: Cross multiply
    14,744.70x = 22,092.40 × 6,412.22
  4. Step 4: Simplify right side
    14,744.70x = 141,661,329.13
  5. Step 5: Solve for x
    x = 141,661,329.13/14,744.70
  6. Step 6: Final answer
    x = 9,607.61

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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.