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Finding the Fourth Proportional to 13,647.05, 20,437.69 and 7,785.89

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Solution

The fourth proportional to 13,647.05, 20,437.69 and 7,785.89 is: 11,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.05 : 20,437.69 = 7,785.89 : x
  2. Step 2: Convert to fraction form
    13,647.05/20,437.69 = 7,785.89/x
  3. Step 3: Cross multiply
    13,647.05x = 20,437.69 × 7,785.89
  4. Step 4: Simplify right side
    13,647.05x = 159,125,606.19
  5. Step 5: Solve for x
    x = 159,125,606.19/13,647.05
  6. Step 6: Final answer
    x = 11,660.07

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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.