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Finding the Fourth Proportional to 13,177.86, 19,774.08 and 5,392.14

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Solution

The fourth proportional to 13,177.86, 19,774.08 and 5,392.14 is: 8,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.86 : 19,774.08 = 5,392.14 : x
  2. Step 2: Convert to fraction form
    13,177.86/19,774.08 = 5,392.14/x
  3. Step 3: Cross multiply
    13,177.86x = 19,774.08 × 5,392.14
  4. Step 4: Simplify right side
    13,177.86x = 106,624,607.73
  5. Step 5: Solve for x
    x = 106,624,607.73/13,177.86
  6. Step 6: Final answer
    x = 8,091.19

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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.