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Finding the Fourth Proportional to 12,533.84, 17,299.78 and 7,501.01

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Solution

The fourth proportional to 12,533.84, 17,299.78 and 7,501.01 is: 10,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.84 : 17,299.78 = 7,501.01 : x
  2. Step 2: Convert to fraction form
    12,533.84/17,299.78 = 7,501.01/x
  3. Step 3: Cross multiply
    12,533.84x = 17,299.78 × 7,501.01
  4. Step 4: Simplify right side
    12,533.84x = 129,765,717.53
  5. Step 5: Solve for x
    x = 129,765,717.53/12,533.84
  6. Step 6: Final answer
    x = 10,353.23

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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.