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Finding the Fourth Proportional to 12,977.36, 17,907.72 and 7,672.40

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Solution

The fourth proportional to 12,977.36, 17,907.72 and 7,672.40 is: 10,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.36 : 17,907.72 = 7,672.40 : x
  2. Step 2: Convert to fraction form
    12,977.36/17,907.72 = 7,672.40/x
  3. Step 3: Cross multiply
    12,977.36x = 17,907.72 × 7,672.40
  4. Step 4: Simplify right side
    12,977.36x = 137,395,190.93
  5. Step 5: Solve for x
    x = 137,395,190.93/12,977.36
  6. Step 6: Final answer
    x = 10,587.30

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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.