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Finding the Fourth Proportional to 23,564.52, 32,519.04 and 12,954.32

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Solution

The fourth proportional to 23,564.52, 32,519.04 and 12,954.32 is: 17,876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.52 : 32,519.04 = 12,954.32 : x
  2. Step 2: Convert to fraction form
    23,564.52/32,519.04 = 12,954.32/x
  3. Step 3: Cross multiply
    23,564.52x = 32,519.04 × 12,954.32
  4. Step 4: Simplify right side
    23,564.52x = 421,262,050.25
  5. Step 5: Solve for x
    x = 421,262,050.25/23,564.52
  6. Step 6: Final answer
    x = 17,876.96

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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.