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Finding the Fourth Proportional to 14,078.22, 19,427.67 and 7,790.64

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Solution

The fourth proportional to 14,078.22, 19,427.67 and 7,790.64 is: 10,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.22 : 19,427.67 = 7,790.64 : x
  2. Step 2: Convert to fraction form
    14,078.22/19,427.67 = 7,790.64/x
  3. Step 3: Cross multiply
    14,078.22x = 19,427.67 × 7,790.64
  4. Step 4: Simplify right side
    14,078.22x = 151,353,983.01
  5. Step 5: Solve for x
    x = 151,353,983.01/14,078.22
  6. Step 6: Final answer
    x = 10,750.93

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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.