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Finding the Fourth Proportional to 21,707.34, 32,523.88 and 11,853.56

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Solution

The fourth proportional to 21,707.34, 32,523.88 and 11,853.56 is: 17,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.34 : 32,523.88 = 11,853.56 : x
  2. Step 2: Convert to fraction form
    21,707.34/32,523.88 = 11,853.56/x
  3. Step 3: Cross multiply
    21,707.34x = 32,523.88 × 11,853.56
  4. Step 4: Simplify right side
    21,707.34x = 385,523,763.01
  5. Step 5: Solve for x
    x = 385,523,763.01/21,707.34
  6. Step 6: Final answer
    x = 17,760.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.