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Finding the Fourth Proportional to 20,024.64, 30,039.01 and 6,875.30

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Solution

The fourth proportional to 20,024.64, 30,039.01 and 6,875.30 is: 10,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024.64 : 30,039.01 = 6,875.30 : x
  2. Step 2: Convert to fraction form
    20,024.64/30,039.01 = 6,875.30/x
  3. Step 3: Cross multiply
    20,024.64x = 30,039.01 × 6,875.30
  4. Step 4: Simplify right side
    20,024.64x = 206,527,263.36
  5. Step 5: Solve for x
    x = 206,527,263.36/20,024.64
  6. Step 6: Final answer
    x = 10,313.66

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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.