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Finding the Fourth Proportional to 21,151, 31,727.01 and 7,111.21

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Solution

The fourth proportional to 21,151, 31,727.01 and 7,111.21 is: 10,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,151 : 31,727.01 = 7,111.21 : x
  2. Step 2: Convert to fraction form
    21,151/31,727.01 = 7,111.21/x
  3. Step 3: Cross multiply
    21,151x = 31,727.01 × 7,111.21
  4. Step 4: Simplify right side
    21,151x = 225,617,430.78
  5. Step 5: Solve for x
    x = 225,617,430.78/21,151
  6. Step 6: Final answer
    x = 10,666.99

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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.