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Finding the Fourth Proportional to 13,380.29, 18,464.95 and 7,412.05

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Solution

The fourth proportional to 13,380.29, 18,464.95 and 7,412.05 is: 10,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.29 : 18,464.95 = 7,412.05 : x
  2. Step 2: Convert to fraction form
    13,380.29/18,464.95 = 7,412.05/x
  3. Step 3: Cross multiply
    13,380.29x = 18,464.95 × 7,412.05
  4. Step 4: Simplify right side
    13,380.29x = 136,863,164.99
  5. Step 5: Solve for x
    x = 136,863,164.99/13,380.29
  6. Step 6: Final answer
    x = 10,228.72

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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.