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Finding the Fourth Proportional to 23,570.85, 32,527.89 and 12,961.17

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Solution

The fourth proportional to 23,570.85, 32,527.89 and 12,961.17 is: 17,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.85 : 32,527.89 = 12,961.17 : x
  2. Step 2: Convert to fraction form
    23,570.85/32,527.89 = 12,961.17/x
  3. Step 3: Cross multiply
    23,570.85x = 32,527.89 × 12,961.17
  4. Step 4: Simplify right side
    23,570.85x = 421,599,512.03
  5. Step 5: Solve for x
    x = 421,599,512.03/23,570.85
  6. Step 6: Final answer
    x = 17,886.48

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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.