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Finding the Fourth Proportional to 23,880.66, 32,964.12 and 20,509.92

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Solution

The fourth proportional to 23,880.66, 32,964.12 and 20,509.92 is: 28,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,880.66 : 32,964.12 = 20,509.92 : x
  2. Step 2: Convert to fraction form
    23,880.66/32,964.12 = 20,509.92/x
  3. Step 3: Cross multiply
    23,880.66x = 32,964.12 × 20,509.92
  4. Step 4: Simplify right side
    23,880.66x = 676,091,464.07
  5. Step 5: Solve for x
    x = 676,091,464.07/23,880.66
  6. Step 6: Final answer
    x = 28,311.26

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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.