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Finding the Fourth Proportional to 20,359.50, 30,526.16 and 8,510.10

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Solution

The fourth proportional to 20,359.50, 30,526.16 and 8,510.10 is: 12,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,359.50 : 30,526.16 = 8,510.10 : x
  2. Step 2: Convert to fraction form
    20,359.50/30,526.16 = 8,510.10/x
  3. Step 3: Cross multiply
    20,359.50x = 30,526.16 × 8,510.10
  4. Step 4: Simplify right side
    20,359.50x = 259,780,631.67
  5. Step 5: Solve for x
    x = 259,780,631.67/20,359.50
  6. Step 6: Final answer
    x = 12,759.68

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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.