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Finding the Fourth Proportional to 17,726.17, 26,576.04 and 7,729

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Solution

The fourth proportional to 17,726.17, 26,576.04 and 7,729 is: 11,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.17 : 26,576.04 = 7,729 : x
  2. Step 2: Convert to fraction form
    17,726.17/26,576.04 = 7,729/x
  3. Step 3: Cross multiply
    17,726.17x = 26,576.04 × 7,729
  4. Step 4: Simplify right side
    17,726.17x = 205,406,213.16
  5. Step 5: Solve for x
    x = 205,406,213.16/17,726.17
  6. Step 6: Final answer
    x = 11,587.74

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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.