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Finding the Fourth Proportional to 14,140.95, 19,513.72 and 7,768.36

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Solution

The fourth proportional to 14,140.95, 19,513.72 and 7,768.36 is: 10,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.95 : 19,513.72 = 7,768.36 : x
  2. Step 2: Convert to fraction form
    14,140.95/19,513.72 = 7,768.36/x
  3. Step 3: Cross multiply
    14,140.95x = 19,513.72 × 7,768.36
  4. Step 4: Simplify right side
    14,140.95x = 151,589,601.90
  5. Step 5: Solve for x
    x = 151,589,601.90/14,140.95
  6. Step 6: Final answer
    x = 10,719.90

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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.