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Finding the Fourth Proportional to 13,298.86, 18,360.30 and 11,822.77

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Solution

The fourth proportional to 13,298.86, 18,360.30 and 11,822.77 is: 16,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,298.86 : 18,360.30 = 11,822.77 : x
  2. Step 2: Convert to fraction form
    13,298.86/18,360.30 = 11,822.77/x
  3. Step 3: Cross multiply
    13,298.86x = 18,360.30 × 11,822.77
  4. Step 4: Simplify right side
    13,298.86x = 217,069,604.03
  5. Step 5: Solve for x
    x = 217,069,604.03/13,298.86
  6. Step 6: Final answer
    x = 16,322.42

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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.