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Finding the Fourth Proportional to 23,897.66, 35,819.44 and 12,032.57

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Solution

The fourth proportional to 23,897.66, 35,819.44 and 12,032.57 is: 18,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.66 : 35,819.44 = 12,032.57 : x
  2. Step 2: Convert to fraction form
    23,897.66/35,819.44 = 12,032.57/x
  3. Step 3: Cross multiply
    23,897.66x = 35,819.44 × 12,032.57
  4. Step 4: Simplify right side
    23,897.66x = 430,999,978.63
  5. Step 5: Solve for x
    x = 430,999,978.63/23,897.66
  6. Step 6: Final answer
    x = 18,035.24

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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.