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Finding the Fourth Proportional to 23,564.76, 32,519.39 and 12,954.57

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Solution

The fourth proportional to 23,564.76, 32,519.39 and 12,954.57 is: 17,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.76 : 32,519.39 = 12,954.57 : x
  2. Step 2: Convert to fraction form
    23,564.76/32,519.39 = 12,954.57/x
  3. Step 3: Cross multiply
    23,564.76x = 32,519.39 × 12,954.57
  4. Step 4: Simplify right side
    23,564.76x = 421,274,649.34
  5. Step 5: Solve for x
    x = 421,274,649.34/23,564.76
  6. Step 6: Final answer
    x = 17,877.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.