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Finding the Fourth Proportional to 23,564.34, 35,327.31 and 13,033.93

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Solution

The fourth proportional to 23,564.34, 35,327.31 and 13,033.93 is: 19,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.34 : 35,327.31 = 13,033.93 : x
  2. Step 2: Convert to fraction form
    23,564.34/35,327.31 = 13,033.93/x
  3. Step 3: Cross multiply
    23,564.34x = 35,327.31 × 13,033.93
  4. Step 4: Simplify right side
    23,564.34x = 460,453,685.63
  5. Step 5: Solve for x
    x = 460,453,685.63/23,564.34
  6. Step 6: Final answer
    x = 19,540.28

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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.