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Finding the Fourth Proportional to 13,867.71, 20,801.58 and 6,477.36

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Solution

The fourth proportional to 13,867.71, 20,801.58 and 6,477.36 is: 9,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.71 : 20,801.58 = 6,477.36 : x
  2. Step 2: Convert to fraction form
    13,867.71/20,801.58 = 6,477.36/x
  3. Step 3: Cross multiply
    13,867.71x = 20,801.58 × 6,477.36
  4. Step 4: Simplify right side
    13,867.71x = 134,739,322.23
  5. Step 5: Solve for x
    x = 134,739,322.23/13,867.71
  6. Step 6: Final answer
    x = 9,716.05

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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.