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Finding the Fourth Proportional to 20,070.10, 30,105.45 and 7,596

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Solution

The fourth proportional to 20,070.10, 30,105.45 and 7,596 is: 11,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,070.10 : 30,105.45 = 7,596 : x
  2. Step 2: Convert to fraction form
    20,070.10/30,105.45 = 7,596/x
  3. Step 3: Cross multiply
    20,070.10x = 30,105.45 × 7,596
  4. Step 4: Simplify right side
    20,070.10x = 228,680,998.20
  5. Step 5: Solve for x
    x = 228,680,998.20/20,070.10
  6. Step 6: Final answer
    x = 11,394.11

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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.