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Finding the Fourth Proportional to 13,020.19, 19,531.19 and 5,229

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Solution

The fourth proportional to 13,020.19, 19,531.19 and 5,229 is: 7,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.19 : 19,531.19 = 5,229 : x
  2. Step 2: Convert to fraction form
    13,020.19/19,531.19 = 5,229/x
  3. Step 3: Cross multiply
    13,020.19x = 19,531.19 × 5,229
  4. Step 4: Simplify right side
    13,020.19x = 102,128,605.58
  5. Step 5: Solve for x
    x = 102,128,605.58/13,020.19
  6. Step 6: Final answer
    x = 7,843.87

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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.