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Finding the Fourth Proportional to 23,862, 35,806.02 and 11,550

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Solution

The fourth proportional to 23,862, 35,806.02 and 11,550 is: 17,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862 : 35,806.02 = 11,550 : x
  2. Step 2: Convert to fraction form
    23,862/35,806.02 = 11,550/x
  3. Step 3: Cross multiply
    23,862x = 35,806.02 × 11,550
  4. Step 4: Simplify right side
    23,862x = 413,559,531.00
  5. Step 5: Solve for x
    x = 413,559,531.00/23,862
  6. Step 6: Final answer
    x = 17,331.30

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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.