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Finding the Fourth Proportional to 13,855.87, 19,121.07 and 7,568.23

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Solution

The fourth proportional to 13,855.87, 19,121.07 and 7,568.23 is: 10,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.87 : 19,121.07 = 7,568.23 : x
  2. Step 2: Convert to fraction form
    13,855.87/19,121.07 = 7,568.23/x
  3. Step 3: Cross multiply
    13,855.87x = 19,121.07 × 7,568.23
  4. Step 4: Simplify right side
    13,855.87x = 144,712,655.61
  5. Step 5: Solve for x
    x = 144,712,655.61/13,855.87
  6. Step 6: Final answer
    x = 10,444.14

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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.