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Finding the Fourth Proportional to 14,388.14, 19,858.69 and 9,669.69

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Solution

The fourth proportional to 14,388.14, 19,858.69 and 9,669.69 is: 13,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,388.14 : 19,858.69 = 9,669.69 : x
  2. Step 2: Convert to fraction form
    14,388.14/19,858.69 = 9,669.69/x
  3. Step 3: Cross multiply
    14,388.14x = 19,858.69 × 9,669.69
  4. Step 4: Simplify right side
    14,388.14x = 192,027,376.11
  5. Step 5: Solve for x
    x = 192,027,376.11/14,388.14
  6. Step 6: Final answer
    x = 13,346.23

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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.