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Finding the Fourth Proportional to 12,883.33, 19,331.48 and 5,098.69

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Solution

The fourth proportional to 12,883.33, 19,331.48 and 5,098.69 is: 7,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.33 : 19,331.48 = 5,098.69 : x
  2. Step 2: Convert to fraction form
    12,883.33/19,331.48 = 5,098.69/x
  3. Step 3: Cross multiply
    12,883.33x = 19,331.48 × 5,098.69
  4. Step 4: Simplify right side
    12,883.33x = 98,565,223.76
  5. Step 5: Solve for x
    x = 98,565,223.76/12,883.33
  6. Step 6: Final answer
    x = 7,650.60

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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.