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Finding the Fourth Proportional to 19,840.50, 29,765.88 and 7,364.10

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Solution

The fourth proportional to 19,840.50, 29,765.88 and 7,364.10 is: 11,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.50 : 29,765.88 = 7,364.10 : x
  2. Step 2: Convert to fraction form
    19,840.50/29,765.88 = 7,364.10/x
  3. Step 3: Cross multiply
    19,840.50x = 29,765.88 × 7,364.10
  4. Step 4: Simplify right side
    19,840.50x = 219,198,916.91
  5. Step 5: Solve for x
    x = 219,198,916.91/19,840.50
  6. Step 6: Final answer
    x = 11,048.05

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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.