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Finding the Fourth Proportional to 12,976.16, 17,907.54 and 7,675.52

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Solution

The fourth proportional to 12,976.16, 17,907.54 and 7,675.52 is: 10,592.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976.16 : 17,907.54 = 7,675.52 : x
  2. Step 2: Convert to fraction form
    12,976.16/17,907.54 = 7,675.52/x
  3. Step 3: Cross multiply
    12,976.16x = 17,907.54 × 7,675.52
  4. Step 4: Simplify right side
    12,976.16x = 137,449,681.42
  5. Step 5: Solve for x
    x = 137,449,681.42/12,976.16
  6. Step 6: Final answer
    x = 10,592.48

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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.