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Finding the Fourth Proportional to 20,490.13, 30,742.53 and 8,646.85

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Solution

The fourth proportional to 20,490.13, 30,742.53 and 8,646.85 is: 12,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,490.13 : 30,742.53 = 8,646.85 : x
  2. Step 2: Convert to fraction form
    20,490.13/30,742.53 = 8,646.85/x
  3. Step 3: Cross multiply
    20,490.13x = 30,742.53 × 8,646.85
  4. Step 4: Simplify right side
    20,490.13x = 265,826,045.53
  5. Step 5: Solve for x
    x = 265,826,045.53/20,490.13
  6. Step 6: Final answer
    x = 12,973.37

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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.