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Finding the Fourth Proportional to 21,118.22, 31,665.03 and 9,271.51

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Solution

The fourth proportional to 21,118.22, 31,665.03 and 9,271.51 is: 13,901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,118.22 : 31,665.03 = 9,271.51 : x
  2. Step 2: Convert to fraction form
    21,118.22/31,665.03 = 9,271.51/x
  3. Step 3: Cross multiply
    21,118.22x = 31,665.03 × 9,271.51
  4. Step 4: Simplify right side
    21,118.22x = 293,582,706.48
  5. Step 5: Solve for x
    x = 293,582,706.48/21,118.22
  6. Step 6: Final answer
    x = 13,901.87

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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.