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Finding the Fourth Proportional to 14,078.00, 19,427.34 and 7,704.59

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Solution

The fourth proportional to 14,078.00, 19,427.34 and 7,704.59 is: 10,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.00 : 19,427.34 = 7,704.59 : x
  2. Step 2: Convert to fraction form
    14,078.00/19,427.34 = 7,704.59/x
  3. Step 3: Cross multiply
    14,078.00x = 19,427.34 × 7,704.59
  4. Step 4: Simplify right side
    14,078.00x = 149,679,621.25
  5. Step 5: Solve for x
    x = 149,679,621.25/14,078.00
  6. Step 6: Final answer
    x = 10,632.16

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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.