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Finding the Fourth Proportional to 17,705.30, 26,551.83 and 7,851.47

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Solution

The fourth proportional to 17,705.30, 26,551.83 and 7,851.47 is: 11,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.30 : 26,551.83 = 7,851.47 : x
  2. Step 2: Convert to fraction form
    17,705.30/26,551.83 = 7,851.47/x
  3. Step 3: Cross multiply
    17,705.30x = 26,551.83 × 7,851.47
  4. Step 4: Simplify right side
    17,705.30x = 208,470,896.69
  5. Step 5: Solve for x
    x = 208,470,896.69/17,705.30
  6. Step 6: Final answer
    x = 11,774.49

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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.