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Finding the Fourth Proportional to 14,016.18, 19,342.06 and 7,642.82

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Solution

The fourth proportional to 14,016.18, 19,342.06 and 7,642.82 is: 10,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.18 : 19,342.06 = 7,642.82 : x
  2. Step 2: Convert to fraction form
    14,016.18/19,342.06 = 7,642.82/x
  3. Step 3: Cross multiply
    14,016.18x = 19,342.06 × 7,642.82
  4. Step 4: Simplify right side
    14,016.18x = 147,827,883.01
  5. Step 5: Solve for x
    x = 147,827,883.01/14,016.18
  6. Step 6: Final answer
    x = 10,546.95

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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.