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Finding the Fourth Proportional to 12,996.58, 19,497.75 and 7,150.18

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Solution

The fourth proportional to 12,996.58, 19,497.75 and 7,150.18 is: 10,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.58 : 19,497.75 = 7,150.18 : x
  2. Step 2: Convert to fraction form
    12,996.58/19,497.75 = 7,150.18/x
  3. Step 3: Cross multiply
    12,996.58x = 19,497.75 × 7,150.18
  4. Step 4: Simplify right side
    12,996.58x = 139,412,422.10
  5. Step 5: Solve for x
    x = 139,412,422.10/12,996.58
  6. Step 6: Final answer
    x = 10,726.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.