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Finding the Fourth Proportional to 13,378.56, 18,462.22 and 7,410.21

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Solution

The fourth proportional to 13,378.56, 18,462.22 and 7,410.21 is: 10,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.56 : 18,462.22 = 7,410.21 : x
  2. Step 2: Convert to fraction form
    13,378.56/18,462.22 = 7,410.21/x
  3. Step 3: Cross multiply
    13,378.56x = 18,462.22 × 7,410.21
  4. Step 4: Simplify right side
    13,378.56x = 136,808,927.27
  5. Step 5: Solve for x
    x = 136,808,927.27/13,378.56
  6. Step 6: Final answer
    x = 10,225.98

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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.