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Finding the Fourth Proportional to 21,007.44, 31,514.34 and 7,153.20

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Solution

The fourth proportional to 21,007.44, 31,514.34 and 7,153.20 is: 10,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.44 : 31,514.34 = 7,153.20 : x
  2. Step 2: Convert to fraction form
    21,007.44/31,514.34 = 7,153.20/x
  3. Step 3: Cross multiply
    21,007.44x = 31,514.34 × 7,153.20
  4. Step 4: Simplify right side
    21,007.44x = 225,428,376.89
  5. Step 5: Solve for x
    x = 225,428,376.89/21,007.44
  6. Step 6: Final answer
    x = 10,730.88

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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.