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Finding the Fourth Proportional to 21,529.92, 32,301.36 and 7,680

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Solution

The fourth proportional to 21,529.92, 32,301.36 and 7,680 is: 11,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,529.92 : 32,301.36 = 7,680 : x
  2. Step 2: Convert to fraction form
    21,529.92/32,301.36 = 7,680/x
  3. Step 3: Cross multiply
    21,529.92x = 32,301.36 × 7,680
  4. Step 4: Simplify right side
    21,529.92x = 248,074,444.80
  5. Step 5: Solve for x
    x = 248,074,444.80/21,529.92
  6. Step 6: Final answer
    x = 11,522.31

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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.