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Finding the Fourth Proportional to 13,858.88, 19,120.80 and 9,669.44

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Solution

The fourth proportional to 13,858.88, 19,120.80 and 9,669.44 is: 13,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.88 : 19,120.80 = 9,669.44 : x
  2. Step 2: Convert to fraction form
    13,858.88/19,120.80 = 9,669.44/x
  3. Step 3: Cross multiply
    13,858.88x = 19,120.80 × 9,669.44
  4. Step 4: Simplify right side
    13,858.88x = 184,887,428.35
  5. Step 5: Solve for x
    x = 184,887,428.35/13,858.88
  6. Step 6: Final answer
    x = 13,340.72

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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.