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Finding the Fourth Proportional to 23,888.25, 32,965.83 and 13,280.40

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Solution

The fourth proportional to 23,888.25, 32,965.83 and 13,280.40 is: 18,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,888.25 : 32,965.83 = 13,280.40 : x
  2. Step 2: Convert to fraction form
    23,888.25/32,965.83 = 13,280.40/x
  3. Step 3: Cross multiply
    23,888.25x = 32,965.83 × 13,280.40
  4. Step 4: Simplify right side
    23,888.25x = 437,799,408.73
  5. Step 5: Solve for x
    x = 437,799,408.73/23,888.25
  6. Step 6: Final answer
    x = 18,326.98

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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.