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Finding the Fourth Proportional to 17,207.22, 25,802.91 and 6,811.86

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Solution

The fourth proportional to 17,207.22, 25,802.91 and 6,811.86 is: 10,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,207.22 : 25,802.91 = 6,811.86 : x
  2. Step 2: Convert to fraction form
    17,207.22/25,802.91 = 6,811.86/x
  3. Step 3: Cross multiply
    17,207.22x = 25,802.91 × 6,811.86
  4. Step 4: Simplify right side
    17,207.22x = 175,765,810.51
  5. Step 5: Solve for x
    x = 175,765,810.51/17,207.22
  6. Step 6: Final answer
    x = 10,214.65

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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.