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Finding the Fourth Proportional to 23,908.25, 32,989.64 and 13,297.89

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Solution

The fourth proportional to 23,908.25, 32,989.64 and 13,297.89 is: 18,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,908.25 : 32,989.64 = 13,297.89 : x
  2. Step 2: Convert to fraction form
    23,908.25/32,989.64 = 13,297.89/x
  3. Step 3: Cross multiply
    23,908.25x = 32,989.64 × 13,297.89
  4. Step 4: Simplify right side
    23,908.25x = 438,692,637.10
  5. Step 5: Solve for x
    x = 438,692,637.10/23,908.25
  6. Step 6: Final answer
    x = 18,349.00

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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.