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Finding the Fourth Proportional to 13,953.78, 19,247.66 and 8,284.68

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Solution

The fourth proportional to 13,953.78, 19,247.66 and 8,284.68 is: 11,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.78 : 19,247.66 = 8,284.68 : x
  2. Step 2: Convert to fraction form
    13,953.78/19,247.66 = 8,284.68/x
  3. Step 3: Cross multiply
    13,953.78x = 19,247.66 × 8,284.68
  4. Step 4: Simplify right side
    13,953.78x = 159,460,703.85
  5. Step 5: Solve for x
    x = 159,460,703.85/13,953.78
  6. Step 6: Final answer
    x = 11,427.78

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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.