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Finding the Fourth Proportional to 13,876.71, 19,155.56 and 9,406.59

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Solution

The fourth proportional to 13,876.71, 19,155.56 and 9,406.59 is: 12,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.71 : 19,155.56 = 9,406.59 : x
  2. Step 2: Convert to fraction form
    13,876.71/19,155.56 = 9,406.59/x
  3. Step 3: Cross multiply
    13,876.71x = 19,155.56 × 9,406.59
  4. Step 4: Simplify right side
    13,876.71x = 180,188,452.11
  5. Step 5: Solve for x
    x = 180,188,452.11/13,876.71
  6. Step 6: Final answer
    x = 12,984.95

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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.