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Finding the Fourth Proportional to 20,050.97, 30,045.24 and 7,564.16

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Solution

The fourth proportional to 20,050.97, 30,045.24 and 7,564.16 is: 11,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050.97 : 30,045.24 = 7,564.16 : x
  2. Step 2: Convert to fraction form
    20,050.97/30,045.24 = 7,564.16/x
  3. Step 3: Cross multiply
    20,050.97x = 30,045.24 × 7,564.16
  4. Step 4: Simplify right side
    20,050.97x = 227,267,077.71
  5. Step 5: Solve for x
    x = 227,267,077.71/20,050.97
  6. Step 6: Final answer
    x = 11,334.47

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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.