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Finding the Fourth Proportional to 23,241.52, 32,077.95 and 13,808.26

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Solution

The fourth proportional to 23,241.52, 32,077.95 and 13,808.26 is: 19,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.52 : 32,077.95 = 13,808.26 : x
  2. Step 2: Convert to fraction form
    23,241.52/32,077.95 = 13,808.26/x
  3. Step 3: Cross multiply
    23,241.52x = 32,077.95 × 13,808.26
  4. Step 4: Simplify right side
    23,241.52x = 442,940,673.87
  5. Step 5: Solve for x
    x = 442,940,673.87/23,241.52
  6. Step 6: Final answer
    x = 19,058.16

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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.