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Finding the Fourth Proportional to 23,754.37, 32,780.82 and 14,193.74

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Solution

The fourth proportional to 23,754.37, 32,780.82 and 14,193.74 is: 19,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.37 : 32,780.82 = 14,193.74 : x
  2. Step 2: Convert to fraction form
    23,754.37/32,780.82 = 14,193.74/x
  3. Step 3: Cross multiply
    23,754.37x = 32,780.82 × 14,193.74
  4. Step 4: Simplify right side
    23,754.37x = 465,282,436.07
  5. Step 5: Solve for x
    x = 465,282,436.07/23,754.37
  6. Step 6: Final answer
    x = 19,587.24

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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.