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Finding the Fourth Proportional to 21,532.72, 32,313.84 and 8,385.16

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Solution

The fourth proportional to 21,532.72, 32,313.84 and 8,385.16 is: 12,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.72 : 32,313.84 = 8,385.16 : x
  2. Step 2: Convert to fraction form
    21,532.72/32,313.84 = 8,385.16/x
  3. Step 3: Cross multiply
    21,532.72x = 32,313.84 × 8,385.16
  4. Step 4: Simplify right side
    21,532.72x = 270,956,718.61
  5. Step 5: Solve for x
    x = 270,956,718.61/21,532.72
  6. Step 6: Final answer
    x = 12,583.49

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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.