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Finding the Fourth Proportional to 14,235.23, 19,644.25 and 7,862.29

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Solution

The fourth proportional to 14,235.23, 19,644.25 and 7,862.29 is: 10,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.23 : 19,644.25 = 7,862.29 : x
  2. Step 2: Convert to fraction form
    14,235.23/19,644.25 = 7,862.29/x
  3. Step 3: Cross multiply
    14,235.23x = 19,644.25 × 7,862.29
  4. Step 4: Simplify right side
    14,235.23x = 154,448,790.33
  5. Step 5: Solve for x
    x = 154,448,790.33/14,235.23
  6. Step 6: Final answer
    x = 10,849.76

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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.