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Finding the Fourth Proportional to 19,577, 29,365.50 and 5,726

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Solution

The fourth proportional to 19,577, 29,365.50 and 5,726 is: 8,589

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,577 : 29,365.50 = 5,726 : x
  2. Step 2: Convert to fraction form
    19,577/29,365.50 = 5,726/x
  3. Step 3: Cross multiply
    19,577x = 29,365.50 × 5,726
  4. Step 4: Simplify right side
    19,577x = 168,146,853
  5. Step 5: Solve for x
    x = 168,146,853/19,577
  6. Step 6: Final answer
    x = 8,589

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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.