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Finding the Fourth Proportional to 13,913.40, 19,201.74 and 7,945.08

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Solution

The fourth proportional to 13,913.40, 19,201.74 and 7,945.08 is: 10,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.40 : 19,201.74 = 7,945.08 : x
  2. Step 2: Convert to fraction form
    13,913.40/19,201.74 = 7,945.08/x
  3. Step 3: Cross multiply
    13,913.40x = 19,201.74 × 7,945.08
  4. Step 4: Simplify right side
    13,913.40x = 152,559,360.44
  5. Step 5: Solve for x
    x = 152,559,360.44/13,913.40
  6. Step 6: Final answer
    x = 10,964.92

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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.