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Finding the Fourth Proportional to 20,224.65, 30,316.15 and 7,741.27

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Solution

The fourth proportional to 20,224.65, 30,316.15 and 7,741.27 is: 11,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.65 : 30,316.15 = 7,741.27 : x
  2. Step 2: Convert to fraction form
    20,224.65/30,316.15 = 7,741.27/x
  3. Step 3: Cross multiply
    20,224.65x = 30,316.15 × 7,741.27
  4. Step 4: Simplify right side
    20,224.65x = 234,685,502.51
  5. Step 5: Solve for x
    x = 234,685,502.51/20,224.65
  6. Step 6: Final answer
    x = 11,603.93

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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.