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Finding the Fourth Proportional to 20,298.16, 30,447.20 and 7,650.28

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Solution

The fourth proportional to 20,298.16, 30,447.20 and 7,650.28 is: 11,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.16 : 30,447.20 = 7,650.28 : x
  2. Step 2: Convert to fraction form
    20,298.16/30,447.20 = 7,650.28/x
  3. Step 3: Cross multiply
    20,298.16x = 30,447.20 × 7,650.28
  4. Step 4: Simplify right side
    20,298.16x = 232,929,605.22
  5. Step 5: Solve for x
    x = 232,929,605.22/20,298.16
  6. Step 6: Final answer
    x = 11,475.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.