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Finding the Fourth Proportional to 21,752.36, 32,639.34 and 8,614.16

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Solution

The fourth proportional to 21,752.36, 32,639.34 and 8,614.16 is: 12,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,752.36 : 32,639.34 = 8,614.16 : x
  2. Step 2: Convert to fraction form
    21,752.36/32,639.34 = 8,614.16/x
  3. Step 3: Cross multiply
    21,752.36x = 32,639.34 × 8,614.16
  4. Step 4: Simplify right side
    21,752.36x = 281,160,497.05
  5. Step 5: Solve for x
    x = 281,160,497.05/21,752.36
  6. Step 6: Final answer
    x = 12,925.52

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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.