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Finding the Fourth Proportional to 10,571.40, 14,543.82 and 10,279.80

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Solution

The fourth proportional to 10,571.40, 14,543.82 and 10,279.80 is: 14,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.40 : 14,543.82 = 10,279.80 : x
  2. Step 2: Convert to fraction form
    10,571.40/14,543.82 = 10,279.80/x
  3. Step 3: Cross multiply
    10,571.40x = 14,543.82 × 10,279.80
  4. Step 4: Simplify right side
    10,571.40x = 149,507,560.84
  5. Step 5: Solve for x
    x = 149,507,560.84/10,571.40
  6. Step 6: Final answer
    x = 14,142.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.