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Finding the Fourth Proportional to 12,719.40, 17,772.60 and 12,719.40

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Solution

The fourth proportional to 12,719.40, 17,772.60 and 12,719.40 is: 17,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719.40 : 17,772.60 = 12,719.40 : x
  2. Step 2: Convert to fraction form
    12,719.40/17,772.60 = 12,719.40/x
  3. Step 3: Cross multiply
    12,719.40x = 17,772.60 × 12,719.40
  4. Step 4: Simplify right side
    12,719.40x = 226,056,808.44
  5. Step 5: Solve for x
    x = 226,056,808.44/12,719.40
  6. Step 6: Final answer
    x = 17,772.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.