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Finding the Fourth Proportional to 13,857.56, 19,122.72 and 7,568.72

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Solution

The fourth proportional to 13,857.56, 19,122.72 and 7,568.72 is: 10,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.56 : 19,122.72 = 7,568.72 : x
  2. Step 2: Convert to fraction form
    13,857.56/19,122.72 = 7,568.72/x
  3. Step 3: Cross multiply
    13,857.56x = 19,122.72 × 7,568.72
  4. Step 4: Simplify right side
    13,857.56x = 144,734,513.32
  5. Step 5: Solve for x
    x = 144,734,513.32/13,857.56
  6. Step 6: Final answer
    x = 10,444.44

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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.