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Finding the Fourth Proportional to 23,825, 32,875.56 and 13,753.28

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Solution

The fourth proportional to 23,825, 32,875.56 and 13,753.28 is: 18,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825 : 32,875.56 = 13,753.28 : x
  2. Step 2: Convert to fraction form
    23,825/32,875.56 = 13,753.28/x
  3. Step 3: Cross multiply
    23,825x = 32,875.56 × 13,753.28
  4. Step 4: Simplify right side
    23,825x = 452,146,781.84
  5. Step 5: Solve for x
    x = 452,146,781.84/23,825
  6. Step 6: Final answer
    x = 18,977.83

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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.