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Finding the Fourth Proportional to 20,707.66, 31,039.80 and 9,017.74

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Solution

The fourth proportional to 20,707.66, 31,039.80 and 9,017.74 is: 13,517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,707.66 : 31,039.80 = 9,017.74 : x
  2. Step 2: Convert to fraction form
    20,707.66/31,039.80 = 9,017.74/x
  3. Step 3: Cross multiply
    20,707.66x = 31,039.80 × 9,017.74
  4. Step 4: Simplify right side
    20,707.66x = 279,908,846.05
  5. Step 5: Solve for x
    x = 279,908,846.05/20,707.66
  6. Step 6: Final answer
    x = 13,517.16

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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.