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Finding the Fourth Proportional to 21,113.34, 31,679.22 and 10,027.86

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Solution

The fourth proportional to 21,113.34, 31,679.22 and 10,027.86 is: 15,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113.34 : 31,679.22 = 10,027.86 : x
  2. Step 2: Convert to fraction form
    21,113.34/31,679.22 = 10,027.86/x
  3. Step 3: Cross multiply
    21,113.34x = 31,679.22 × 10,027.86
  4. Step 4: Simplify right side
    21,113.34x = 317,674,783.07
  5. Step 5: Solve for x
    x = 317,674,783.07/21,113.34
  6. Step 6: Final answer
    x = 15,046.16

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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.