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Finding the Fourth Proportional to 21,094.65, 31,629.69 and 7,948.08

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Solution

The fourth proportional to 21,094.65, 31,629.69 and 7,948.08 is: 11,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,094.65 : 31,629.69 = 7,948.08 : x
  2. Step 2: Convert to fraction form
    21,094.65/31,629.69 = 7,948.08/x
  3. Step 3: Cross multiply
    21,094.65x = 31,629.69 × 7,948.08
  4. Step 4: Simplify right side
    21,094.65x = 251,395,306.50
  5. Step 5: Solve for x
    x = 251,395,306.50/21,094.65
  6. Step 6: Final answer
    x = 11,917.49

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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.