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Finding the Fourth Proportional to 13,695.86, 18,900.16 and 7,408.23

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Solution

The fourth proportional to 13,695.86, 18,900.16 and 7,408.23 is: 10,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.86 : 18,900.16 = 7,408.23 : x
  2. Step 2: Convert to fraction form
    13,695.86/18,900.16 = 7,408.23/x
  3. Step 3: Cross multiply
    13,695.86x = 18,900.16 × 7,408.23
  4. Step 4: Simplify right side
    13,695.86x = 140,016,823.23
  5. Step 5: Solve for x
    x = 140,016,823.23/13,695.86
  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.