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Finding the Fourth Proportional to 19,378.46, 29,070.73 and 8,285.20

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Solution

The fourth proportional to 19,378.46, 29,070.73 and 8,285.20 is: 12,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378.46 : 29,070.73 = 8,285.20 : x
  2. Step 2: Convert to fraction form
    19,378.46/29,070.73 = 8,285.20/x
  3. Step 3: Cross multiply
    19,378.46x = 29,070.73 × 8,285.20
  4. Step 4: Simplify right side
    19,378.46x = 240,856,913.40
  5. Step 5: Solve for x
    x = 240,856,913.40/19,378.46
  6. Step 6: Final answer
    x = 12,429.11

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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.