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Finding the Fourth Proportional to 21,176.82, 31,760.08 and 7,133.22

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Solution

The fourth proportional to 21,176.82, 31,760.08 and 7,133.22 is: 10,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.82 : 31,760.08 = 7,133.22 : x
  2. Step 2: Convert to fraction form
    21,176.82/31,760.08 = 7,133.22/x
  3. Step 3: Cross multiply
    21,176.82x = 31,760.08 × 7,133.22
  4. Step 4: Simplify right side
    21,176.82x = 226,551,637.86
  5. Step 5: Solve for x
    x = 226,551,637.86/21,176.82
  6. Step 6: Final answer
    x = 10,698.10

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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.