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Finding the Fourth Proportional to 13,866.21, 19,142.43 and 8,564.11

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Solution

The fourth proportional to 13,866.21, 19,142.43 and 8,564.11 is: 11,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.21 : 19,142.43 = 8,564.11 : x
  2. Step 2: Convert to fraction form
    13,866.21/19,142.43 = 8,564.11/x
  3. Step 3: Cross multiply
    13,866.21x = 19,142.43 × 8,564.11
  4. Step 4: Simplify right side
    13,866.21x = 163,937,876.19
  5. Step 5: Solve for x
    x = 163,937,876.19/13,866.21
  6. Step 6: Final answer
    x = 11,822.83

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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.