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Finding the Fourth Proportional to 32,787.84, 45,247.36 and 17,884.16

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Solution

The fourth proportional to 32,787.84, 45,247.36 and 17,884.16 is: 24,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,787.84 : 45,247.36 = 17,884.16 : x
  2. Step 2: Convert to fraction form
    32,787.84/45,247.36 = 17,884.16/x
  3. Step 3: Cross multiply
    32,787.84x = 45,247.36 × 17,884.16
  4. Step 4: Simplify right side
    32,787.84x = 809,211,025.82
  5. Step 5: Solve for x
    x = 809,211,025.82/32,787.84
  6. Step 6: Final answer
    x = 24,680.22

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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.