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Finding the Fourth Proportional to 19,464, 29,197.62 and 5,613

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Solution

The fourth proportional to 19,464, 29,197.62 and 5,613 is: 8,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464 : 29,197.62 = 5,613 : x
  2. Step 2: Convert to fraction form
    19,464/29,197.62 = 5,613/x
  3. Step 3: Cross multiply
    19,464x = 29,197.62 × 5,613
  4. Step 4: Simplify right side
    19,464x = 163,886,241.06
  5. Step 5: Solve for x
    x = 163,886,241.06/19,464
  6. Step 6: Final answer
    x = 8,419.97

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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.