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Finding the Fourth Proportional to 12,716.48, 18,950.32 and 12,298.52

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Solution

The fourth proportional to 12,716.48, 18,950.32 and 12,298.52 is: 18,327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.48 : 18,950.32 = 12,298.52 : x
  2. Step 2: Convert to fraction form
    12,716.48/18,950.32 = 12,298.52/x
  3. Step 3: Cross multiply
    12,716.48x = 18,950.32 × 12,298.52
  4. Step 4: Simplify right side
    12,716.48x = 233,060,889.53
  5. Step 5: Solve for x
    x = 233,060,889.53/12,716.48
  6. Step 6: Final answer
    x = 18,327.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.