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Finding the Fourth Proportional to 17,655.75, 26,462.34 and 7,783.86

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Solution

The fourth proportional to 17,655.75, 26,462.34 and 7,783.86 is: 11,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.75 : 26,462.34 = 7,783.86 : x
  2. Step 2: Convert to fraction form
    17,655.75/26,462.34 = 7,783.86/x
  3. Step 3: Cross multiply
    17,655.75x = 26,462.34 × 7,783.86
  4. Step 4: Simplify right side
    17,655.75x = 205,979,149.83
  5. Step 5: Solve for x
    x = 205,979,149.83/17,655.75
  6. Step 6: Final answer
    x = 11,666.41

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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.