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Finding the Fourth Proportional to 23,592.69, 32,557.05 and 12,982.10

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Solution

The fourth proportional to 23,592.69, 32,557.05 and 12,982.10 is: 17,914.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,592.69 : 32,557.05 = 12,982.10 : x
  2. Step 2: Convert to fraction form
    23,592.69/32,557.05 = 12,982.10/x
  3. Step 3: Cross multiply
    23,592.69x = 32,557.05 × 12,982.10
  4. Step 4: Simplify right side
    23,592.69x = 422,658,716.02
  5. Step 5: Solve for x
    x = 422,658,716.02/23,592.69
  6. Step 6: Final answer
    x = 17,914.82

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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.