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Finding the Fourth Proportional to 13,531, 20,296.62 and 5,323

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Solution

The fourth proportional to 13,531, 20,296.62 and 5,323 is: 7,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531 : 20,296.62 = 5,323 : x
  2. Step 2: Convert to fraction form
    13,531/20,296.62 = 5,323/x
  3. Step 3: Cross multiply
    13,531x = 20,296.62 × 5,323
  4. Step 4: Simplify right side
    13,531x = 108,038,908.26
  5. Step 5: Solve for x
    x = 108,038,908.26/13,531
  6. Step 6: Final answer
    x = 7,984.55

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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.