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Finding the Fourth Proportional to 20,954.64, 31,412.16 and 7,798.08

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Solution

The fourth proportional to 20,954.64, 31,412.16 and 7,798.08 is: 11,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.64 : 31,412.16 = 7,798.08 : x
  2. Step 2: Convert to fraction form
    20,954.64/31,412.16 = 7,798.08/x
  3. Step 3: Cross multiply
    20,954.64x = 31,412.16 × 7,798.08
  4. Step 4: Simplify right side
    20,954.64x = 244,954,536.65
  5. Step 5: Solve for x
    x = 244,954,536.65/20,954.64
  6. Step 6: Final answer
    x = 11,689.75

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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.