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Finding the Fourth Proportional to 14,186.26, 19,574.22 and 7,897.42

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Solution

The fourth proportional to 14,186.26, 19,574.22 and 7,897.42 is: 10,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.26 : 19,574.22 = 7,897.42 : x
  2. Step 2: Convert to fraction form
    14,186.26/19,574.22 = 7,897.42/x
  3. Step 3: Cross multiply
    14,186.26x = 19,574.22 × 7,897.42
  4. Step 4: Simplify right side
    14,186.26x = 154,585,836.51
  5. Step 5: Solve for x
    x = 154,585,836.51/14,186.26
  6. Step 6: Final answer
    x = 10,896.87

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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.