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Finding the Fourth Proportional to 19,478.67, 29,201.60 and 7,785.51

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Solution

The fourth proportional to 19,478.67, 29,201.60 and 7,785.51 is: 11,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,478.67 : 29,201.60 = 7,785.51 : x
  2. Step 2: Convert to fraction form
    19,478.67/29,201.60 = 7,785.51/x
  3. Step 3: Cross multiply
    19,478.67x = 29,201.60 × 7,785.51
  4. Step 4: Simplify right side
    19,478.67x = 227,349,163.88
  5. Step 5: Solve for x
    x = 227,349,163.88/19,478.67
  6. Step 6: Final answer
    x = 11,671.70

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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.