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Finding the Fourth Proportional to 12,502.64, 18,744.62 and 7,571.08

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Solution

The fourth proportional to 12,502.64, 18,744.62 and 7,571.08 is: 11,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.64 : 18,744.62 = 7,571.08 : x
  2. Step 2: Convert to fraction form
    12,502.64/18,744.62 = 7,571.08/x
  3. Step 3: Cross multiply
    12,502.64x = 18,744.62 × 7,571.08
  4. Step 4: Simplify right side
    12,502.64x = 141,917,017.59
  5. Step 5: Solve for x
    x = 141,917,017.59/12,502.64
  6. Step 6: Final answer
    x = 11,350.96

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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.