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Finding the Fourth Proportional to 14,010.52, 19,334.50 and 7,723

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Solution

The fourth proportional to 14,010.52, 19,334.50 and 7,723 is: 10,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010.52 : 19,334.50 = 7,723 : x
  2. Step 2: Convert to fraction form
    14,010.52/19,334.50 = 7,723/x
  3. Step 3: Cross multiply
    14,010.52x = 19,334.50 × 7,723
  4. Step 4: Simplify right side
    14,010.52x = 149,320,343.50
  5. Step 5: Solve for x
    x = 149,320,343.50/14,010.52
  6. Step 6: Final answer
    x = 10,657.73

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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.