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Finding the Fourth Proportional to 13,695.81, 18,900.23 and 7,408.19

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Solution

The fourth proportional to 13,695.81, 18,900.23 and 7,408.19 is: 10,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.81 : 18,900.23 = 7,408.19 : x
  2. Step 2: Convert to fraction form
    13,695.81/18,900.23 = 7,408.19/x
  3. Step 3: Cross multiply
    13,695.81x = 18,900.23 × 7,408.19
  4. Step 4: Simplify right side
    13,695.81x = 140,016,363.34
  5. Step 5: Solve for x
    x = 140,016,363.34/13,695.81
  6. Step 6: Final answer
    x = 10,223.30

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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.