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Finding the Fourth Proportional to 15,686.33, 23,533.01 and 5,297.81

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Solution

The fourth proportional to 15,686.33, 23,533.01 and 5,297.81 is: 7,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.33 : 23,533.01 = 5,297.81 : x
  2. Step 2: Convert to fraction form
    15,686.33/23,533.01 = 5,297.81/x
  3. Step 3: Cross multiply
    15,686.33x = 23,533.01 × 5,297.81
  4. Step 4: Simplify right side
    15,686.33x = 124,673,467.92
  5. Step 5: Solve for x
    x = 124,673,467.92/15,686.33
  6. Step 6: Final answer
    x = 7,947.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.