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Finding the Fourth Proportional to 20,182.83, 30,276.96 and 7,032.12

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Solution

The fourth proportional to 20,182.83, 30,276.96 and 7,032.12 is: 10,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.83 : 30,276.96 = 7,032.12 : x
  2. Step 2: Convert to fraction form
    20,182.83/30,276.96 = 7,032.12/x
  3. Step 3: Cross multiply
    20,182.83x = 30,276.96 × 7,032.12
  4. Step 4: Simplify right side
    20,182.83x = 212,911,215.96
  5. Step 5: Solve for x
    x = 212,911,215.96/20,182.83
  6. Step 6: Final answer
    x = 10,549.13

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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.