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Finding the Fourth Proportional to 17,661.74, 26,485.74 and 6,565.93

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Solution

The fourth proportional to 17,661.74, 26,485.74 and 6,565.93 is: 9,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.74 : 26,485.74 = 6,565.93 : x
  2. Step 2: Convert to fraction form
    17,661.74/26,485.74 = 6,565.93/x
  3. Step 3: Cross multiply
    17,661.74x = 26,485.74 × 6,565.93
  4. Step 4: Simplify right side
    17,661.74x = 173,903,448.62
  5. Step 5: Solve for x
    x = 173,903,448.62/17,661.74
  6. Step 6: Final answer
    x = 9,846.34

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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.