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Finding the Fourth Proportional to 23,077.50, 31,847.40 and 13,009.08

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Solution

The fourth proportional to 23,077.50, 31,847.40 and 13,009.08 is: 17,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.50 : 31,847.40 = 13,009.08 : x
  2. Step 2: Convert to fraction form
    23,077.50/31,847.40 = 13,009.08/x
  3. Step 3: Cross multiply
    23,077.50x = 31,847.40 × 13,009.08
  4. Step 4: Simplify right side
    23,077.50x = 414,305,374.39
  5. Step 5: Solve for x
    x = 414,305,374.39/23,077.50
  6. Step 6: Final answer
    x = 17,952.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.