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Finding the Fourth Proportional to 12,147.88, 16,764.42 and 11,707.24

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Solution

The fourth proportional to 12,147.88, 16,764.42 and 11,707.24 is: 16,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.88 : 16,764.42 = 11,707.24 : x
  2. Step 2: Convert to fraction form
    12,147.88/16,764.42 = 11,707.24/x
  3. Step 3: Cross multiply
    12,147.88x = 16,764.42 × 11,707.24
  4. Step 4: Simplify right side
    12,147.88x = 196,265,088.40
  5. Step 5: Solve for x
    x = 196,265,088.40/12,147.88
  6. Step 6: Final answer
    x = 16,156.32

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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.