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Finding the Fourth Proportional to 20,014.31, 30,026.65 and 10,646.61

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Solution

The fourth proportional to 20,014.31, 30,026.65 and 10,646.61 is: 15,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,014.31 : 30,026.65 = 10,646.61 : x
  2. Step 2: Convert to fraction form
    20,014.31/30,026.65 = 10,646.61/x
  3. Step 3: Cross multiply
    20,014.31x = 30,026.65 × 10,646.61
  4. Step 4: Simplify right side
    20,014.31x = 319,682,032.16
  5. Step 5: Solve for x
    x = 319,682,032.16/20,014.31
  6. Step 6: Final answer
    x = 15,972.67

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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.