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Finding the Fourth Proportional to 19,456.20, 29,184.30 and 5,416.20

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Solution

The fourth proportional to 19,456.20, 29,184.30 and 5,416.20 is: 8,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,456.20 : 29,184.30 = 5,416.20 : x
  2. Step 2: Convert to fraction form
    19,456.20/29,184.30 = 5,416.20/x
  3. Step 3: Cross multiply
    19,456.20x = 29,184.30 × 5,416.20
  4. Step 4: Simplify right side
    19,456.20x = 158,068,005.66
  5. Step 5: Solve for x
    x = 158,068,005.66/19,456.20
  6. Step 6: Final answer
    x = 8,124.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.