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Finding the Fourth Proportional to 21,116.09, 31,652.07 and 7,064.56

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Solution

The fourth proportional to 21,116.09, 31,652.07 and 7,064.56 is: 10,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,116.09 : 31,652.07 = 7,064.56 : x
  2. Step 2: Convert to fraction form
    21,116.09/31,652.07 = 7,064.56/x
  3. Step 3: Cross multiply
    21,116.09x = 31,652.07 × 7,064.56
  4. Step 4: Simplify right side
    21,116.09x = 223,607,983.16
  5. Step 5: Solve for x
    x = 223,607,983.16/21,116.09
  6. Step 6: Final answer
    x = 10,589.46

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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.