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Finding the Fourth Proportional to 17,212, 25,802.70 and 6,117.22

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Solution

The fourth proportional to 17,212, 25,802.70 and 6,117.22 is: 9,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,212 : 25,802.70 = 6,117.22 : x
  2. Step 2: Convert to fraction form
    17,212/25,802.70 = 6,117.22/x
  3. Step 3: Cross multiply
    17,212x = 25,802.70 × 6,117.22
  4. Step 4: Simplify right side
    17,212x = 157,840,792.49
  5. Step 5: Solve for x
    x = 157,840,792.49/17,212
  6. Step 6: Final answer
    x = 9,170.39

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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.