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Finding the Fourth Proportional to 17,802.70, 26,701.73 and 4,656.09

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Solution

The fourth proportional to 17,802.70, 26,701.73 and 4,656.09 is: 6,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.70 : 26,701.73 = 4,656.09 : x
  2. Step 2: Convert to fraction form
    17,802.70/26,701.73 = 4,656.09/x
  3. Step 3: Cross multiply
    17,802.70x = 26,701.73 × 4,656.09
  4. Step 4: Simplify right side
    17,802.70x = 124,325,658.04
  5. Step 5: Solve for x
    x = 124,325,658.04/17,802.70
  6. Step 6: Final answer
    x = 6,983.53

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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.