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Finding the Fourth Proportional to 17,646.41, 26,473.00 and 7,117.49

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Solution

The fourth proportional to 17,646.41, 26,473.00 and 7,117.49 is: 10,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.41 : 26,473.00 = 7,117.49 : x
  2. Step 2: Convert to fraction form
    17,646.41/26,473.00 = 7,117.49/x
  3. Step 3: Cross multiply
    17,646.41x = 26,473.00 × 7,117.49
  4. Step 4: Simplify right side
    17,646.41x = 188,421,361.16
  5. Step 5: Solve for x
    x = 188,421,361.16/17,646.41
  6. Step 6: Final answer
    x = 10,677.61

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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.