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Finding the Fourth Proportional to 23,754.75, 32,776.35 and 14,193.20

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Solution

The fourth proportional to 23,754.75, 32,776.35 and 14,193.20 is: 19,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.75 : 32,776.35 = 14,193.20 : x
  2. Step 2: Convert to fraction form
    23,754.75/32,776.35 = 14,193.20/x
  3. Step 3: Cross multiply
    23,754.75x = 32,776.35 × 14,193.20
  4. Step 4: Simplify right side
    23,754.75x = 465,201,372.76
  5. Step 5: Solve for x
    x = 465,201,372.76/23,754.75
  6. Step 6: Final answer
    x = 19,583.51

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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.