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Finding the Fourth Proportional to 13,505.83, 18,638.98 and 7,538.66

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Solution

The fourth proportional to 13,505.83, 18,638.98 and 7,538.66 is: 10,403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.83 : 18,638.98 = 7,538.66 : x
  2. Step 2: Convert to fraction form
    13,505.83/18,638.98 = 7,538.66/x
  3. Step 3: Cross multiply
    13,505.83x = 18,638.98 × 7,538.66
  4. Step 4: Simplify right side
    13,505.83x = 140,512,890.82
  5. Step 5: Solve for x
    x = 140,512,890.82/13,505.83
  6. Step 6: Final answer
    x = 10,403.87

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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.