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Finding the Fourth Proportional to 13,887.84, 20,840.04 and 5,569.68

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Solution

The fourth proportional to 13,887.84, 20,840.04 and 5,569.68 is: 8,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.84 : 20,840.04 = 5,569.68 : x
  2. Step 2: Convert to fraction form
    13,887.84/20,840.04 = 5,569.68/x
  3. Step 3: Cross multiply
    13,887.84x = 20,840.04 × 5,569.68
  4. Step 4: Simplify right side
    13,887.84x = 116,072,353.99
  5. Step 5: Solve for x
    x = 116,072,353.99/13,887.84
  6. Step 6: Final answer
    x = 8,357.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.