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Finding the Fourth Proportional to 13,468.48, 18,584.32 and 7,803.74

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Solution

The fourth proportional to 13,468.48, 18,584.32 and 7,803.74 is: 10,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.48 : 18,584.32 = 7,803.74 : x
  2. Step 2: Convert to fraction form
    13,468.48/18,584.32 = 7,803.74/x
  3. Step 3: Cross multiply
    13,468.48x = 18,584.32 × 7,803.74
  4. Step 4: Simplify right side
    13,468.48x = 145,027,201.36
  5. Step 5: Solve for x
    x = 145,027,201.36/13,468.48
  6. Step 6: Final answer
    x = 10,767.90

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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.