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Finding the Fourth Proportional to 12,148.53, 18,223.07 and 5,570.25

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Solution

The fourth proportional to 12,148.53, 18,223.07 and 5,570.25 is: 8,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.53 : 18,223.07 = 5,570.25 : x
  2. Step 2: Convert to fraction form
    12,148.53/18,223.07 = 5,570.25/x
  3. Step 3: Cross multiply
    12,148.53x = 18,223.07 × 5,570.25
  4. Step 4: Simplify right side
    12,148.53x = 101,507,027.82
  5. Step 5: Solve for x
    x = 101,507,027.82/12,148.53
  6. Step 6: Final answer
    x = 8,355.50

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Why These Related Problems?

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