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Finding the Fourth Proportional to 13,871.40, 19,142.58 and 7,583.88

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Solution

The fourth proportional to 13,871.40, 19,142.58 and 7,583.88 is: 10,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.40 : 19,142.58 = 7,583.88 : x
  2. Step 2: Convert to fraction form
    13,871.40/19,142.58 = 7,583.88/x
  3. Step 3: Cross multiply
    13,871.40x = 19,142.58 × 7,583.88
  4. Step 4: Simplify right side
    13,871.40x = 145,175,029.61
  5. Step 5: Solve for x
    x = 145,175,029.61/13,871.40
  6. Step 6: Final answer
    x = 10,465.78

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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.