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Finding the Fourth Proportional to 13,901, 19,184.12 and 7,931.44

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Solution

The fourth proportional to 13,901, 19,184.12 and 7,931.44 is: 10,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901 : 19,184.12 = 7,931.44 : x
  2. Step 2: Convert to fraction form
    13,901/19,184.12 = 7,931.44/x
  3. Step 3: Cross multiply
    13,901x = 19,184.12 × 7,931.44
  4. Step 4: Simplify right side
    13,901x = 152,157,696.73
  5. Step 5: Solve for x
    x = 152,157,696.73/13,901
  6. Step 6: Final answer
    x = 10,945.81

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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.