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Finding the Fourth Proportional to 13,490.44, 18,633.06 and 10,148.20

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Solution

The fourth proportional to 13,490.44, 18,633.06 and 10,148.20 is: 14,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.44 : 18,633.06 = 10,148.20 : x
  2. Step 2: Convert to fraction form
    13,490.44/18,633.06 = 10,148.20/x
  3. Step 3: Cross multiply
    13,490.44x = 18,633.06 × 10,148.20
  4. Step 4: Simplify right side
    13,490.44x = 189,092,019.49
  5. Step 5: Solve for x
    x = 189,092,019.49/13,490.44
  6. Step 6: Final answer
    x = 14,016.74

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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.