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Finding the Fourth Proportional to 13,670.37, 20,505.77 and 4,785.38

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Solution

The fourth proportional to 13,670.37, 20,505.77 and 4,785.38 is: 7,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.37 : 20,505.77 = 4,785.38 : x
  2. Step 2: Convert to fraction form
    13,670.37/20,505.77 = 4,785.38/x
  3. Step 3: Cross multiply
    13,670.37x = 20,505.77 × 4,785.38
  4. Step 4: Simplify right side
    13,670.37x = 98,127,928.98
  5. Step 5: Solve for x
    x = 98,127,928.98/13,670.37
  6. Step 6: Final answer
    x = 7,178.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.