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Finding the Fourth Proportional to 20,299.50, 30,445.65 and 5,509.57

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Solution

The fourth proportional to 20,299.50, 30,445.65 and 5,509.57 is: 8,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299.50 : 30,445.65 = 5,509.57 : x
  2. Step 2: Convert to fraction form
    20,299.50/30,445.65 = 5,509.57/x
  3. Step 3: Cross multiply
    20,299.50x = 30,445.65 × 5,509.57
  4. Step 4: Simplify right side
    20,299.50x = 167,742,384.42
  5. Step 5: Solve for x
    x = 167,742,384.42/20,299.50
  6. Step 6: Final answer
    x = 8,263.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.