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Finding the Fourth Proportional to 14,108.42, 19,468.57 and 7,733.99

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Solution

The fourth proportional to 14,108.42, 19,468.57 and 7,733.99 is: 10,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.42 : 19,468.57 = 7,733.99 : x
  2. Step 2: Convert to fraction form
    14,108.42/19,468.57 = 7,733.99/x
  3. Step 3: Cross multiply
    14,108.42x = 19,468.57 × 7,733.99
  4. Step 4: Simplify right side
    14,108.42x = 150,569,725.69
  5. Step 5: Solve for x
    x = 150,569,725.69/14,108.42
  6. Step 6: Final answer
    x = 10,672.33

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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.