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Finding the Fourth Proportional to 23,564.78, 32,519.03 and 12,954.18

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Solution

The fourth proportional to 23,564.78, 32,519.03 and 12,954.18 is: 17,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.78 : 32,519.03 = 12,954.18 : x
  2. Step 2: Convert to fraction form
    23,564.78/32,519.03 = 12,954.18/x
  3. Step 3: Cross multiply
    23,564.78x = 32,519.03 × 12,954.18
  4. Step 4: Simplify right side
    23,564.78x = 421,257,303.27
  5. Step 5: Solve for x
    x = 421,257,303.27/23,564.78
  6. Step 6: Final answer
    x = 17,876.57

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