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Finding the Fourth Proportional to 20,525.79, 30,776.31 and 8,030.90

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Solution

The fourth proportional to 20,525.79, 30,776.31 and 8,030.90 is: 12,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,525.79 : 30,776.31 = 8,030.90 : x
  2. Step 2: Convert to fraction form
    20,525.79/30,776.31 = 8,030.90/x
  3. Step 3: Cross multiply
    20,525.79x = 30,776.31 × 8,030.90
  4. Step 4: Simplify right side
    20,525.79x = 247,161,314.10
  5. Step 5: Solve for x
    x = 247,161,314.10/20,525.79
  6. Step 6: Final answer
    x = 12,041.50

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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.