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Finding the Fourth Proportional to 20,057.72, 30,089.24 and 7,574

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Solution

The fourth proportional to 20,057.72, 30,089.24 and 7,574 is: 11,362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.72 : 30,089.24 = 7,574 : x
  2. Step 2: Convert to fraction form
    20,057.72/30,089.24 = 7,574/x
  3. Step 3: Cross multiply
    20,057.72x = 30,089.24 × 7,574
  4. Step 4: Simplify right side
    20,057.72x = 227,895,903.76
  5. Step 5: Solve for x
    x = 227,895,903.76/20,057.72
  6. Step 6: Final answer
    x = 11,362.00

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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.