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Finding the Fourth Proportional to 20,225.13, 30,342.02 and 7,077.93

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Solution

The fourth proportional to 20,225.13, 30,342.02 and 7,077.93 is: 10,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.13 : 30,342.02 = 7,077.93 : x
  2. Step 2: Convert to fraction form
    20,225.13/30,342.02 = 7,077.93/x
  3. Step 3: Cross multiply
    20,225.13x = 30,342.02 × 7,077.93
  4. Step 4: Simplify right side
    20,225.13x = 214,758,693.62
  5. Step 5: Solve for x
    x = 214,758,693.62/20,225.13
  6. Step 6: Final answer
    x = 10,618.41

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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.