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Finding the Fourth Proportional to 17,100.22, 25,635.07 and 9,207

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Solution

The fourth proportional to 17,100.22, 25,635.07 and 9,207 is: 13,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100.22 : 25,635.07 = 9,207 : x
  2. Step 2: Convert to fraction form
    17,100.22/25,635.07 = 9,207/x
  3. Step 3: Cross multiply
    17,100.22x = 25,635.07 × 9,207
  4. Step 4: Simplify right side
    17,100.22x = 236,022,089.49
  5. Step 5: Solve for x
    x = 236,022,089.49/17,100.22
  6. Step 6: Final answer
    x = 13,802.28

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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.