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Finding the Fourth Proportional to 13,603.23, 18,776.12 and 8,225.77

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Solution

The fourth proportional to 13,603.23, 18,776.12 and 8,225.77 is: 11,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,603.23 : 18,776.12 = 8,225.77 : x
  2. Step 2: Convert to fraction form
    13,603.23/18,776.12 = 8,225.77/x
  3. Step 3: Cross multiply
    13,603.23x = 18,776.12 × 8,225.77
  4. Step 4: Simplify right side
    13,603.23x = 154,448,022.55
  5. Step 5: Solve for x
    x = 154,448,022.55/13,603.23
  6. Step 6: Final answer
    x = 11,353.78

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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.