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Finding the Fourth Proportional to 13,921.94, 20,848.32 and 9,742.41

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Solution

The fourth proportional to 13,921.94, 20,848.32 and 9,742.41 is: 14,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.94 : 20,848.32 = 9,742.41 : x
  2. Step 2: Convert to fraction form
    13,921.94/20,848.32 = 9,742.41/x
  3. Step 3: Cross multiply
    13,921.94x = 20,848.32 × 9,742.41
  4. Step 4: Simplify right side
    13,921.94x = 203,112,881.25
  5. Step 5: Solve for x
    x = 203,112,881.25/13,921.94
  6. Step 6: Final answer
    x = 14,589.41

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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.