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Finding the Fourth Proportional to 14,230.23, 19,638.80 and 7,858.04

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Solution

The fourth proportional to 14,230.23, 19,638.80 and 7,858.04 is: 10,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.23 : 19,638.80 = 7,858.04 : x
  2. Step 2: Convert to fraction form
    14,230.23/19,638.80 = 7,858.04/x
  3. Step 3: Cross multiply
    14,230.23x = 19,638.80 × 7,858.04
  4. Step 4: Simplify right side
    14,230.23x = 154,322,338.47
  5. Step 5: Solve for x
    x = 154,322,338.47/14,230.23
  6. Step 6: Final answer
    x = 10,844.68

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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.