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Finding the Fourth Proportional to 13,697.41, 18,885.29 and 11,432.01

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Solution

The fourth proportional to 13,697.41, 18,885.29 and 11,432.01 is: 15,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.41 : 18,885.29 = 11,432.01 : x
  2. Step 2: Convert to fraction form
    13,697.41/18,885.29 = 11,432.01/x
  3. Step 3: Cross multiply
    13,697.41x = 18,885.29 × 11,432.01
  4. Step 4: Simplify right side
    13,697.41x = 215,896,824.13
  5. Step 5: Solve for x
    x = 215,896,824.13/13,697.41
  6. Step 6: Final answer
    x = 15,761.87

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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.