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Finding the Fourth Proportional to 17,703.39, 26,564.40 and 7,849.47

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Solution

The fourth proportional to 17,703.39, 26,564.40 and 7,849.47 is: 11,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.39 : 26,564.40 = 7,849.47 : x
  2. Step 2: Convert to fraction form
    17,703.39/26,564.40 = 7,849.47/x
  3. Step 3: Cross multiply
    17,703.39x = 26,564.40 × 7,849.47
  4. Step 4: Simplify right side
    17,703.39x = 208,516,460.87
  5. Step 5: Solve for x
    x = 208,516,460.87/17,703.39
  6. Step 6: Final answer
    x = 11,778.34

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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.