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Finding the Fourth Proportional to 20,509.59, 30,763.36 and 8,031.90

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Solution

The fourth proportional to 20,509.59, 30,763.36 and 8,031.90 is: 12,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.59 : 30,763.36 = 8,031.90 : x
  2. Step 2: Convert to fraction form
    20,509.59/30,763.36 = 8,031.90/x
  3. Step 3: Cross multiply
    20,509.59x = 30,763.36 × 8,031.90
  4. Step 4: Simplify right side
    20,509.59x = 247,088,231.18
  5. Step 5: Solve for x
    x = 247,088,231.18/20,509.59
  6. Step 6: Final answer
    x = 12,047.45

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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.