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Finding the Fourth Proportional to 17,776.36, 26,646.03 and 7,241.86

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Solution

The fourth proportional to 17,776.36, 26,646.03 and 7,241.86 is: 10,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.36 : 26,646.03 = 7,241.86 : x
  2. Step 2: Convert to fraction form
    17,776.36/26,646.03 = 7,241.86/x
  3. Step 3: Cross multiply
    17,776.36x = 26,646.03 × 7,241.86
  4. Step 4: Simplify right side
    17,776.36x = 192,966,818.82
  5. Step 5: Solve for x
    x = 192,966,818.82/17,776.36
  6. Step 6: Final answer
    x = 10,855.25

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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.