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Finding the Fourth Proportional to 14,182.23, 19,571.91 and 7,722.29

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Solution

The fourth proportional to 14,182.23, 19,571.91 and 7,722.29 is: 10,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.23 : 19,571.91 = 7,722.29 : x
  2. Step 2: Convert to fraction form
    14,182.23/19,571.91 = 7,722.29/x
  3. Step 3: Cross multiply
    14,182.23x = 19,571.91 × 7,722.29
  4. Step 4: Simplify right side
    14,182.23x = 151,139,964.87
  5. Step 5: Solve for x
    x = 151,139,964.87/14,182.23
  6. Step 6: Final answer
    x = 10,657.00

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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.