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Finding the Fourth Proportional to 19,905.94, 29,865.39 and 9,518.50

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Solution

The fourth proportional to 19,905.94, 29,865.39 and 9,518.50 is: 14,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,905.94 : 29,865.39 = 9,518.50 : x
  2. Step 2: Convert to fraction form
    19,905.94/29,865.39 = 9,518.50/x
  3. Step 3: Cross multiply
    19,905.94x = 29,865.39 × 9,518.50
  4. Step 4: Simplify right side
    19,905.94x = 284,273,714.72
  5. Step 5: Solve for x
    x = 284,273,714.72/19,905.94
  6. Step 6: Final answer
    x = 14,280.85

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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.