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Finding the Fourth Proportional to 13,123.64, 19,682.10 and 3,887.48

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Solution

The fourth proportional to 13,123.64, 19,682.10 and 3,887.48 is: 5,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.64 : 19,682.10 = 3,887.48 : x
  2. Step 2: Convert to fraction form
    13,123.64/19,682.10 = 3,887.48/x
  3. Step 3: Cross multiply
    13,123.64x = 19,682.10 × 3,887.48
  4. Step 4: Simplify right side
    13,123.64x = 76,513,770.11
  5. Step 5: Solve for x
    x = 76,513,770.11/13,123.64
  6. Step 6: Final answer
    x = 5,830.22

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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.