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Finding the Fourth Proportional to 23,513.50, 35,211.75 and 16,460.47

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Solution

The fourth proportional to 23,513.50, 35,211.75 and 16,460.47 is: 24,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.50 : 35,211.75 = 16,460.47 : x
  2. Step 2: Convert to fraction form
    23,513.50/35,211.75 = 16,460.47/x
  3. Step 3: Cross multiply
    23,513.50x = 35,211.75 × 16,460.47
  4. Step 4: Simplify right side
    23,513.50x = 579,601,954.52
  5. Step 5: Solve for x
    x = 579,601,954.52/23,513.50
  6. Step 6: Final answer
    x = 24,649.75

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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.