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Finding the Fourth Proportional to 20,984.67, 31,479.03 and 9,291.51

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Solution

The fourth proportional to 20,984.67, 31,479.03 and 9,291.51 is: 13,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984.67 : 31,479.03 = 9,291.51 : x
  2. Step 2: Convert to fraction form
    20,984.67/31,479.03 = 9,291.51/x
  3. Step 3: Cross multiply
    20,984.67x = 31,479.03 × 9,291.51
  4. Step 4: Simplify right side
    20,984.67x = 292,487,722.04
  5. Step 5: Solve for x
    x = 292,487,722.04/20,984.67
  6. Step 6: Final answer
    x = 13,938.16

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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.