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Finding the Fourth Proportional to 14,108.18, 19,468.40 and 7,733.48

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Solution

The fourth proportional to 14,108.18, 19,468.40 and 7,733.48 is: 10,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.18 : 19,468.40 = 7,733.48 : x
  2. Step 2: Convert to fraction form
    14,108.18/19,468.40 = 7,733.48/x
  3. Step 3: Cross multiply
    14,108.18x = 19,468.40 × 7,733.48
  4. Step 4: Simplify right side
    14,108.18x = 150,558,346.02
  5. Step 5: Solve for x
    x = 150,558,346.02/14,108.18
  6. Step 6: Final answer
    x = 10,671.71

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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.