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Finding the Fourth Proportional to 12,880.32, 17,865.72 and 12,538.80

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Solution

The fourth proportional to 12,880.32, 17,865.72 and 12,538.80 is: 17,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.32 : 17,865.72 = 12,538.80 : x
  2. Step 2: Convert to fraction form
    12,880.32/17,865.72 = 12,538.80/x
  3. Step 3: Cross multiply
    12,880.32x = 17,865.72 × 12,538.80
  4. Step 4: Simplify right side
    12,880.32x = 224,014,689.94
  5. Step 5: Solve for x
    x = 224,014,689.94/12,880.32
  6. Step 6: Final answer
    x = 17,392.01

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.