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Finding the Fourth Proportional to 23,570.92, 32,528.74 and 12,961.48

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Solution

The fourth proportional to 23,570.92, 32,528.74 and 12,961.48 is: 17,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.92 : 32,528.74 = 12,961.48 : x
  2. Step 2: Convert to fraction form
    23,570.92/32,528.74 = 12,961.48/x
  3. Step 3: Cross multiply
    23,570.92x = 32,528.74 × 12,961.48
  4. Step 4: Simplify right side
    23,570.92x = 421,620,612.94
  5. Step 5: Solve for x
    x = 421,620,612.94/23,570.92
  6. Step 6: Final answer
    x = 17,887.32

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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.