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Finding the Fourth Proportional to 13,135.64, 19,703.46 and 8,761.64

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Solution

The fourth proportional to 13,135.64, 19,703.46 and 8,761.64 is: 13,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.64 : 19,703.46 = 8,761.64 : x
  2. Step 2: Convert to fraction form
    13,135.64/19,703.46 = 8,761.64/x
  3. Step 3: Cross multiply
    13,135.64x = 19,703.46 × 8,761.64
  4. Step 4: Simplify right side
    13,135.64x = 172,634,623.27
  5. Step 5: Solve for x
    x = 172,634,623.27/13,135.64
  6. Step 6: Final answer
    x = 13,142.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.