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Finding the Fourth Proportional to 12,437.12, 17,163.12 and 6,848

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Solution

The fourth proportional to 12,437.12, 17,163.12 and 6,848 is: 9,450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.12 : 17,163.12 = 6,848 : x
  2. Step 2: Convert to fraction form
    12,437.12/17,163.12 = 6,848/x
  3. Step 3: Cross multiply
    12,437.12x = 17,163.12 × 6,848
  4. Step 4: Simplify right side
    12,437.12x = 117,533,045.76
  5. Step 5: Solve for x
    x = 117,533,045.76/12,437.12
  6. Step 6: Final answer
    x = 9,450.18

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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.