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Finding the Fourth Proportional to 13,871, 19,142.04 and 7,583.36

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Solution

The fourth proportional to 13,871, 19,142.04 and 7,583.36 is: 10,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871 : 19,142.04 = 7,583.36 : x
  2. Step 2: Convert to fraction form
    13,871/19,142.04 = 7,583.36/x
  3. Step 3: Cross multiply
    13,871x = 19,142.04 × 7,583.36
  4. Step 4: Simplify right side
    13,871x = 145,160,980.45
  5. Step 5: Solve for x
    x = 145,160,980.45/13,871
  6. Step 6: Final answer
    x = 10,465.07

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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.