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Finding the Fourth Proportional to 14,451.40, 19,942.51 and 8,078.00

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Solution

The fourth proportional to 14,451.40, 19,942.51 and 8,078.00 is: 11,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.40 : 19,942.51 = 8,078.00 : x
  2. Step 2: Convert to fraction form
    14,451.40/19,942.51 = 8,078.00/x
  3. Step 3: Cross multiply
    14,451.40x = 19,942.51 × 8,078.00
  4. Step 4: Simplify right side
    14,451.40x = 161,095,603.20
  5. Step 5: Solve for x
    x = 161,095,603.20/14,451.40
  6. Step 6: Final answer
    x = 11,147.41

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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.