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Finding the Fourth Proportional to 17,703.80, 26,549.58 and 7,849.98

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Solution

The fourth proportional to 17,703.80, 26,549.58 and 7,849.98 is: 11,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.80 : 26,549.58 = 7,849.98 : x
  2. Step 2: Convert to fraction form
    17,703.80/26,549.58 = 7,849.98/x
  3. Step 3: Cross multiply
    17,703.80x = 26,549.58 × 7,849.98
  4. Step 4: Simplify right side
    17,703.80x = 208,413,672.01
  5. Step 5: Solve for x
    x = 208,413,672.01/17,703.80
  6. Step 6: Final answer
    x = 11,772.26

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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.