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Finding the Fourth Proportional to 12,454.41, 17,186.40 and 7,148.88

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Solution

The fourth proportional to 12,454.41, 17,186.40 and 7,148.88 is: 9,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.41 : 17,186.40 = 7,148.88 : x
  2. Step 2: Convert to fraction form
    12,454.41/17,186.40 = 7,148.88/x
  3. Step 3: Cross multiply
    12,454.41x = 17,186.40 × 7,148.88
  4. Step 4: Simplify right side
    12,454.41x = 122,863,511.23
  5. Step 5: Solve for x
    x = 122,863,511.23/12,454.41
  6. Step 6: Final answer
    x = 9,865.06

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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.