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Finding the Fourth Proportional to 32,196.86, 44,434.22 and 17,858.10

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Solution

The fourth proportional to 32,196.86, 44,434.22 and 17,858.10 is: 24,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.86 : 44,434.22 = 17,858.10 : x
  2. Step 2: Convert to fraction form
    32,196.86/44,434.22 = 17,858.10/x
  3. Step 3: Cross multiply
    32,196.86x = 44,434.22 × 17,858.10
  4. Step 4: Simplify right side
    32,196.86x = 793,510,744.18
  5. Step 5: Solve for x
    x = 793,510,744.18/32,196.86
  6. Step 6: Final answer
    x = 24,645.59

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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.