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Finding the Fourth Proportional to 13,788.72, 19,027.20 and 7,820.64

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Solution

The fourth proportional to 13,788.72, 19,027.20 and 7,820.64 is: 10,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.72 : 19,027.20 = 7,820.64 : x
  2. Step 2: Convert to fraction form
    13,788.72/19,027.20 = 7,820.64/x
  3. Step 3: Cross multiply
    13,788.72x = 19,027.20 × 7,820.64
  4. Step 4: Simplify right side
    13,788.72x = 148,804,881.41
  5. Step 5: Solve for x
    x = 148,804,881.41/13,788.72
  6. Step 6: Final answer
    x = 10,791.78

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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.