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Finding the Fourth Proportional to 13,416.56, 18,513.32 and 7,448.48

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Solution

The fourth proportional to 13,416.56, 18,513.32 and 7,448.48 is: 10,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.56 : 18,513.32 = 7,448.48 : x
  2. Step 2: Convert to fraction form
    13,416.56/18,513.32 = 7,448.48/x
  3. Step 3: Cross multiply
    13,416.56x = 18,513.32 × 7,448.48
  4. Step 4: Simplify right side
    13,416.56x = 137,896,093.75
  5. Step 5: Solve for x
    x = 137,896,093.75/13,416.56
  6. Step 6: Final answer
    x = 10,278.05

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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.