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Finding the Fourth Proportional to 20,697.24, 31,042.62 and 7,547.88

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Solution

The fourth proportional to 20,697.24, 31,042.62 and 7,547.88 is: 11,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.24 : 31,042.62 = 7,547.88 : x
  2. Step 2: Convert to fraction form
    20,697.24/31,042.62 = 7,547.88/x
  3. Step 3: Cross multiply
    20,697.24x = 31,042.62 × 7,547.88
  4. Step 4: Simplify right side
    20,697.24x = 234,305,970.65
  5. Step 5: Solve for x
    x = 234,305,970.65/20,697.24
  6. Step 6: Final answer
    x = 11,320.64

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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.