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Finding the Fourth Proportional to 19,480.48, 29,228 and 10,114.64

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Solution

The fourth proportional to 19,480.48, 29,228 and 10,114.64 is: 15,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,480.48 : 29,228 = 10,114.64 : x
  2. Step 2: Convert to fraction form
    19,480.48/29,228 = 10,114.64/x
  3. Step 3: Cross multiply
    19,480.48x = 29,228 × 10,114.64
  4. Step 4: Simplify right side
    19,480.48x = 295,630,697.92
  5. Step 5: Solve for x
    x = 295,630,697.92/19,480.48
  6. Step 6: Final answer
    x = 15,175.74

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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.