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Finding the Fourth Proportional to 13,681.41, 18,832.14 and 9,898.44

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Solution

The fourth proportional to 13,681.41, 18,832.14 and 9,898.44 is: 13,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.41 : 18,832.14 = 9,898.44 : x
  2. Step 2: Convert to fraction form
    13,681.41/18,832.14 = 9,898.44/x
  3. Step 3: Cross multiply
    13,681.41x = 18,832.14 × 9,898.44
  4. Step 4: Simplify right side
    13,681.41x = 186,408,807.86
  5. Step 5: Solve for x
    x = 186,408,807.86/13,681.41
  6. Step 6: Final answer
    x = 13,624.97

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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.