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Finding the Fourth Proportional to 17,645.72, 24,342.40 and 12,858.20

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Solution

The fourth proportional to 17,645.72, 24,342.40 and 12,858.20 is: 17,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,645.72 : 24,342.40 = 12,858.20 : x
  2. Step 2: Convert to fraction form
    17,645.72/24,342.40 = 12,858.20/x
  3. Step 3: Cross multiply
    17,645.72x = 24,342.40 × 12,858.20
  4. Step 4: Simplify right side
    17,645.72x = 312,999,447.68
  5. Step 5: Solve for x
    x = 312,999,447.68/17,645.72
  6. Step 6: Final answer
    x = 17,737.98

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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.