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Finding the Fourth Proportional to 13,820.78, 19,063 and 8,518.52

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Solution

The fourth proportional to 13,820.78, 19,063 and 8,518.52 is: 11,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.78 : 19,063 = 8,518.52 : x
  2. Step 2: Convert to fraction form
    13,820.78/19,063 = 8,518.52/x
  3. Step 3: Cross multiply
    13,820.78x = 19,063 × 8,518.52
  4. Step 4: Simplify right side
    13,820.78x = 162,388,546.76
  5. Step 5: Solve for x
    x = 162,388,546.76/13,820.78
  6. Step 6: Final answer
    x = 11,749.59

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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.