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Finding the Fourth Proportional to 23,733, 35,602.38 and 7,317

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Solution

The fourth proportional to 23,733, 35,602.38 and 7,317 is: 10,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,733 : 35,602.38 = 7,317 : x
  2. Step 2: Convert to fraction form
    23,733/35,602.38 = 7,317/x
  3. Step 3: Cross multiply
    23,733x = 35,602.38 × 7,317
  4. Step 4: Simplify right side
    23,733x = 260,502,614.46
  5. Step 5: Solve for x
    x = 260,502,614.46/23,733
  6. Step 6: Final answer
    x = 10,976.39

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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.