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Finding the Fourth Proportional to 17,056.44, 25,565.22 and 7,803

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Solution

The fourth proportional to 17,056.44, 25,565.22 and 7,803 is: 11,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,056.44 : 25,565.22 = 7,803 : x
  2. Step 2: Convert to fraction form
    17,056.44/25,565.22 = 7,803/x
  3. Step 3: Cross multiply
    17,056.44x = 25,565.22 × 7,803
  4. Step 4: Simplify right side
    17,056.44x = 199,485,411.66
  5. Step 5: Solve for x
    x = 199,485,411.66/17,056.44
  6. Step 6: Final answer
    x = 11,695.61

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Why These Related Problems?

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