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Finding the Fourth Proportional to 20,693.34, 31,014.09 and 10,308.06

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Solution

The fourth proportional to 20,693.34, 31,014.09 and 10,308.06 is: 15,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,693.34 : 31,014.09 = 10,308.06 : x
  2. Step 2: Convert to fraction form
    20,693.34/31,014.09 = 10,308.06/x
  3. Step 3: Cross multiply
    20,693.34x = 31,014.09 × 10,308.06
  4. Step 4: Simplify right side
    20,693.34x = 319,695,100.57
  5. Step 5: Solve for x
    x = 319,695,100.57/20,693.34
  6. Step 6: Final answer
    x = 15,449.18

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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.