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Finding the Fourth Proportional to 14,014.71, 19,339.43 and 7,727.22

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Solution

The fourth proportional to 14,014.71, 19,339.43 and 7,727.22 is: 10,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.71 : 19,339.43 = 7,727.22 : x
  2. Step 2: Convert to fraction form
    14,014.71/19,339.43 = 7,727.22/x
  3. Step 3: Cross multiply
    14,014.71x = 19,339.43 × 7,727.22
  4. Step 4: Simplify right side
    14,014.71x = 149,439,991.65
  5. Step 5: Solve for x
    x = 149,439,991.65/14,014.71
  6. Step 6: Final answer
    x = 10,663.08

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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.