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Finding the Fourth Proportional to 20,842.08, 31,271.76 and 6,992.16

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Solution

The fourth proportional to 20,842.08, 31,271.76 and 6,992.16 is: 10,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.08 : 31,271.76 = 6,992.16 : x
  2. Step 2: Convert to fraction form
    20,842.08/31,271.76 = 6,992.16/x
  3. Step 3: Cross multiply
    20,842.08x = 31,271.76 × 6,992.16
  4. Step 4: Simplify right side
    20,842.08x = 218,657,149.40
  5. Step 5: Solve for x
    x = 218,657,149.40/20,842.08
  6. Step 6: Final answer
    x = 10,491.14

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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.