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Finding the Fourth Proportional to 17,703.90, 26,562 and 7,850.10

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Solution

The fourth proportional to 17,703.90, 26,562 and 7,850.10 is: 11,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.90 : 26,562 = 7,850.10 : x
  2. Step 2: Convert to fraction form
    17,703.90/26,562 = 7,850.10/x
  3. Step 3: Cross multiply
    17,703.90x = 26,562 × 7,850.10
  4. Step 4: Simplify right side
    17,703.90x = 208,514,356.20
  5. Step 5: Solve for x
    x = 208,514,356.20/17,703.90
  6. Step 6: Final answer
    x = 11,777.88

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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.