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Finding the Fourth Proportional to 15,896.25, 21,935.80 and 9,927.56

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Solution

The fourth proportional to 15,896.25, 21,935.80 and 9,927.56 is: 13,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.25 : 21,935.80 = 9,927.56 : x
  2. Step 2: Convert to fraction form
    15,896.25/21,935.80 = 9,927.56/x
  3. Step 3: Cross multiply
    15,896.25x = 21,935.80 × 9,927.56
  4. Step 4: Simplify right side
    15,896.25x = 217,768,970.65
  5. Step 5: Solve for x
    x = 217,768,970.65/15,896.25
  6. Step 6: Final answer
    x = 13,699.39

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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.