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Finding the Fourth Proportional to 19,688, 29,536.86 and 5,837

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Solution

The fourth proportional to 19,688, 29,536.86 and 5,837 is: 8,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688 : 29,536.86 = 5,837 : x
  2. Step 2: Convert to fraction form
    19,688/29,536.86 = 5,837/x
  3. Step 3: Cross multiply
    19,688x = 29,536.86 × 5,837
  4. Step 4: Simplify right side
    19,688x = 172,406,651.82
  5. Step 5: Solve for x
    x = 172,406,651.82/19,688
  6. Step 6: Final answer
    x = 8,756.94

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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.