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Finding the Fourth Proportional to 19,865.50, 29,798.85 and 5,074.69

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Solution

The fourth proportional to 19,865.50, 29,798.85 and 5,074.69 is: 7,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865.50 : 29,798.85 = 5,074.69 : x
  2. Step 2: Convert to fraction form
    19,865.50/29,798.85 = 5,074.69/x
  3. Step 3: Cross multiply
    19,865.50x = 29,798.85 × 5,074.69
  4. Step 4: Simplify right side
    19,865.50x = 151,219,926.11
  5. Step 5: Solve for x
    x = 151,219,926.11/19,865.50
  6. Step 6: Final answer
    x = 7,612.19

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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.