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Finding the Fourth Proportional to 13,370.64, 18,453.12 and 7,705.71

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Solution

The fourth proportional to 13,370.64, 18,453.12 and 7,705.71 is: 10,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,370.64 : 18,453.12 = 7,705.71 : x
  2. Step 2: Convert to fraction form
    13,370.64/18,453.12 = 7,705.71/x
  3. Step 3: Cross multiply
    13,370.64x = 18,453.12 × 7,705.71
  4. Step 4: Simplify right side
    13,370.64x = 142,194,391.32
  5. Step 5: Solve for x
    x = 142,194,391.32/13,370.64
  6. Step 6: Final answer
    x = 10,634.82

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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.