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Finding the Fourth Proportional to 12,533.84, 17,299.26 and 7,227.93

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Solution

The fourth proportional to 12,533.84, 17,299.26 and 7,227.93 is: 9,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.84 : 17,299.26 = 7,227.93 : x
  2. Step 2: Convert to fraction form
    12,533.84/17,299.26 = 7,227.93/x
  3. Step 3: Cross multiply
    12,533.84x = 17,299.26 × 7,227.93
  4. Step 4: Simplify right side
    12,533.84x = 125,037,804.19
  5. Step 5: Solve for x
    x = 125,037,804.19/12,533.84
  6. Step 6: Final answer
    x = 9,976.02

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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.