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Finding the Fourth Proportional to 20,390.31, 30,582 and 5,595.75

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Solution

The fourth proportional to 20,390.31, 30,582 and 5,595.75 is: 8,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,390.31 : 30,582 = 5,595.75 : x
  2. Step 2: Convert to fraction form
    20,390.31/30,582 = 5,595.75/x
  3. Step 3: Cross multiply
    20,390.31x = 30,582 × 5,595.75
  4. Step 4: Simplify right side
    20,390.31x = 171,129,226.50
  5. Step 5: Solve for x
    x = 171,129,226.50/20,390.31
  6. Step 6: Final answer
    x = 8,392.67

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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.