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Finding the Fourth Proportional to 20,694.80, 31,046.83 and 7,547.18

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Solution

The fourth proportional to 20,694.80, 31,046.83 and 7,547.18 is: 11,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.80 : 31,046.83 = 7,547.18 : x
  2. Step 2: Convert to fraction form
    20,694.80/31,046.83 = 7,547.18/x
  3. Step 3: Cross multiply
    20,694.80x = 31,046.83 × 7,547.18
  4. Step 4: Simplify right side
    20,694.80x = 234,315,840.34
  5. Step 5: Solve for x
    x = 234,315,840.34/20,694.80
  6. Step 6: Final answer
    x = 11,322.45

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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.