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Finding the Fourth Proportional to 19,618.68, 29,430.90 and 6,474.36

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Solution

The fourth proportional to 19,618.68, 29,430.90 and 6,474.36 is: 9,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,618.68 : 29,430.90 = 6,474.36 : x
  2. Step 2: Convert to fraction form
    19,618.68/29,430.90 = 6,474.36/x
  3. Step 3: Cross multiply
    19,618.68x = 29,430.90 × 6,474.36
  4. Step 4: Simplify right side
    19,618.68x = 190,546,241.72
  5. Step 5: Solve for x
    x = 190,546,241.72/19,618.68
  6. Step 6: Final answer
    x = 9,712.49

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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.