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Finding the Fourth Proportional to 20,751.02, 31,085.12 and 9,642.62

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Solution

The fourth proportional to 20,751.02, 31,085.12 and 9,642.62 is: 14,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,751.02 : 31,085.12 = 9,642.62 : x
  2. Step 2: Convert to fraction form
    20,751.02/31,085.12 = 9,642.62/x
  3. Step 3: Cross multiply
    20,751.02x = 31,085.12 × 9,642.62
  4. Step 4: Simplify right side
    20,751.02x = 299,741,999.81
  5. Step 5: Solve for x
    x = 299,741,999.81/20,751.02
  6. Step 6: Final answer
    x = 14,444.69

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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.