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Finding the Fourth Proportional to 17,971.66, 27,005.28 and 9,657.82

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Solution

The fourth proportional to 17,971.66, 27,005.28 and 9,657.82 is: 14,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.66 : 27,005.28 = 9,657.82 : x
  2. Step 2: Convert to fraction form
    17,971.66/27,005.28 = 9,657.82/x
  3. Step 3: Cross multiply
    17,971.66x = 27,005.28 × 9,657.82
  4. Step 4: Simplify right side
    17,971.66x = 260,812,133.29
  5. Step 5: Solve for x
    x = 260,812,133.29/17,971.66
  6. Step 6: Final answer
    x = 14,512.41

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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.