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Finding the Fourth Proportional to 40,196.57, 60,294.86 and 13,886.96

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Solution

The fourth proportional to 40,196.57, 60,294.86 and 13,886.96 is: 20,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,196.57 : 60,294.86 = 13,886.96 : x
  2. Step 2: Convert to fraction form
    40,196.57/60,294.86 = 13,886.96/x
  3. Step 3: Cross multiply
    40,196.57x = 60,294.86 × 13,886.96
  4. Step 4: Simplify right side
    40,196.57x = 837,312,309.03
  5. Step 5: Solve for x
    x = 837,312,309.03/40,196.57
  6. Step 6: Final answer
    x = 20,830.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.