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Finding the Fourth Proportional to 20,409.79, 30,626.49 and 8,562.50

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Solution

The fourth proportional to 20,409.79, 30,626.49 and 8,562.50 is: 12,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.79 : 30,626.49 = 8,562.50 : x
  2. Step 2: Convert to fraction form
    20,409.79/30,626.49 = 8,562.50/x
  3. Step 3: Cross multiply
    20,409.79x = 30,626.49 × 8,562.50
  4. Step 4: Simplify right side
    20,409.79x = 262,239,320.63
  5. Step 5: Solve for x
    x = 262,239,320.63/20,409.79
  6. Step 6: Final answer
    x = 12,848.70

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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.