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Finding the Fourth Proportional to 14,182.70, 19,572.11 and 7,896.56

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Solution

The fourth proportional to 14,182.70, 19,572.11 and 7,896.56 is: 10,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.70 : 19,572.11 = 7,896.56 : x
  2. Step 2: Convert to fraction form
    14,182.70/19,572.11 = 7,896.56/x
  3. Step 3: Cross multiply
    14,182.70x = 19,572.11 × 7,896.56
  4. Step 4: Simplify right side
    14,182.70x = 154,552,262.82
  5. Step 5: Solve for x
    x = 154,552,262.82/14,182.70
  6. Step 6: Final answer
    x = 10,897.24

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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.