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Finding the Fourth Proportional to 13,378.74, 18,462.43 and 7,410.28

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Solution

The fourth proportional to 13,378.74, 18,462.43 and 7,410.28 is: 10,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.74 : 18,462.43 = 7,410.28 : x
  2. Step 2: Convert to fraction form
    13,378.74/18,462.43 = 7,410.28/x
  3. Step 3: Cross multiply
    13,378.74x = 18,462.43 × 7,410.28
  4. Step 4: Simplify right side
    13,378.74x = 136,811,775.78
  5. Step 5: Solve for x
    x = 136,811,775.78/13,378.74
  6. Step 6: Final answer
    x = 10,226.06

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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.