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Finding the Fourth Proportional to 13,821.46, 19,073.67 and 7,855.12

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Solution

The fourth proportional to 13,821.46, 19,073.67 and 7,855.12 is: 10,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.46 : 19,073.67 = 7,855.12 : x
  2. Step 2: Convert to fraction form
    13,821.46/19,073.67 = 7,855.12/x
  3. Step 3: Cross multiply
    13,821.46x = 19,073.67 × 7,855.12
  4. Step 4: Simplify right side
    13,821.46x = 149,825,966.69
  5. Step 5: Solve for x
    x = 149,825,966.69/13,821.46
  6. Step 6: Final answer
    x = 10,840.10

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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.