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Finding the Fourth Proportional to 23,564.88, 32,517.96 and 12,954

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Solution

The fourth proportional to 23,564.88, 32,517.96 and 12,954 is: 17,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.88 : 32,517.96 = 12,954 : x
  2. Step 2: Convert to fraction form
    23,564.88/32,517.96 = 12,954/x
  3. Step 3: Cross multiply
    23,564.88x = 32,517.96 × 12,954
  4. Step 4: Simplify right side
    23,564.88x = 421,237,653.84
  5. Step 5: Solve for x
    x = 421,237,653.84/23,564.88
  6. Step 6: Final answer
    x = 17,875.65

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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.