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Finding the Fourth Proportional to 23,734, 35,577.71 and 13,209.06

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Solution

The fourth proportional to 23,734, 35,577.71 and 13,209.06 is: 19,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734 : 35,577.71 = 13,209.06 : x
  2. Step 2: Convert to fraction form
    23,734/35,577.71 = 13,209.06/x
  3. Step 3: Cross multiply
    23,734x = 35,577.71 × 13,209.06
  4. Step 4: Simplify right side
    23,734x = 469,948,106.05
  5. Step 5: Solve for x
    x = 469,948,106.05/23,734
  6. Step 6: Final answer
    x = 19,800.63

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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.