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Finding the Fourth Proportional to 23,712.32, 32,722.08 and 12,957.23

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Solution

The fourth proportional to 23,712.32, 32,722.08 and 12,957.23 is: 17,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.32 : 32,722.08 = 12,957.23 : x
  2. Step 2: Convert to fraction form
    23,712.32/32,722.08 = 12,957.23/x
  3. Step 3: Cross multiply
    23,712.32x = 32,722.08 × 12,957.23
  4. Step 4: Simplify right side
    23,712.32x = 423,987,516.64
  5. Step 5: Solve for x
    x = 423,987,516.64/23,712.32
  6. Step 6: Final answer
    x = 17,880.47

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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.