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Finding the Fourth Proportional to 13,832.88, 19,083.20 and 8,525.76

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Solution

The fourth proportional to 13,832.88, 19,083.20 and 8,525.76 is: 11,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.88 : 19,083.20 = 8,525.76 : x
  2. Step 2: Convert to fraction form
    13,832.88/19,083.20 = 8,525.76/x
  3. Step 3: Cross multiply
    13,832.88x = 19,083.20 × 8,525.76
  4. Step 4: Simplify right side
    13,832.88x = 162,698,783.23
  5. Step 5: Solve for x
    x = 162,698,783.23/13,832.88
  6. Step 6: Final answer
    x = 11,761.74

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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.