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Finding the Fourth Proportional to 13,374.40, 18,455.17 and 7,404.57

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Solution

The fourth proportional to 13,374.40, 18,455.17 and 7,404.57 is: 10,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.40 : 18,455.17 = 7,404.57 : x
  2. Step 2: Convert to fraction form
    13,374.40/18,455.17 = 7,404.57/x
  3. Step 3: Cross multiply
    13,374.40x = 18,455.17 × 7,404.57
  4. Step 4: Simplify right side
    13,374.40x = 136,652,579.62
  5. Step 5: Solve for x
    x = 136,652,579.62/13,374.40
  6. Step 6: Final answer
    x = 10,217.48

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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.