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Finding the Fourth Proportional to 13,529.84, 18,664.83 and 8,221.10

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Solution

The fourth proportional to 13,529.84, 18,664.83 and 8,221.10 is: 11,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529.84 : 18,664.83 = 8,221.10 : x
  2. Step 2: Convert to fraction form
    13,529.84/18,664.83 = 8,221.10/x
  3. Step 3: Cross multiply
    13,529.84x = 18,664.83 × 8,221.10
  4. Step 4: Simplify right side
    13,529.84x = 153,445,340.59
  5. Step 5: Solve for x
    x = 153,445,340.59/13,529.84
  6. Step 6: Final answer
    x = 11,341.26

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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.