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Finding the Fourth Proportional to 19,656.30, 29,463.38 and 9,774.30

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Solution

The fourth proportional to 19,656.30, 29,463.38 and 9,774.30 is: 14,650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656.30 : 29,463.38 = 9,774.30 : x
  2. Step 2: Convert to fraction form
    19,656.30/29,463.38 = 9,774.30/x
  3. Step 3: Cross multiply
    19,656.30x = 29,463.38 × 9,774.30
  4. Step 4: Simplify right side
    19,656.30x = 287,983,915.13
  5. Step 5: Solve for x
    x = 287,983,915.13/19,656.30
  6. Step 6: Final answer
    x = 14,650.97

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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.