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Finding the Fourth Proportional to 20,303.83, 30,459.84 and 8,458.50

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Solution

The fourth proportional to 20,303.83, 30,459.84 and 8,458.50 is: 12,689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,303.83 : 30,459.84 = 8,458.50 : x
  2. Step 2: Convert to fraction form
    20,303.83/30,459.84 = 8,458.50/x
  3. Step 3: Cross multiply
    20,303.83x = 30,459.84 × 8,458.50
  4. Step 4: Simplify right side
    20,303.83x = 257,644,556.64
  5. Step 5: Solve for x
    x = 257,644,556.64/20,303.83
  6. Step 6: Final answer
    x = 12,689.46

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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.