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Finding the Fourth Proportional to 20,594.08, 30,895.92 and 6,742.24

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Solution

The fourth proportional to 20,594.08, 30,895.92 and 6,742.24 is: 10,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.08 : 30,895.92 = 6,742.24 : x
  2. Step 2: Convert to fraction form
    20,594.08/30,895.92 = 6,742.24/x
  3. Step 3: Cross multiply
    20,594.08x = 30,895.92 × 6,742.24
  4. Step 4: Simplify right side
    20,594.08x = 208,307,707.66
  5. Step 5: Solve for x
    x = 208,307,707.66/20,594.08
  6. Step 6: Final answer
    x = 10,114.93

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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.