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Finding the Fourth Proportional to 19,647.20, 29,477.84 and 9,785.60

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Solution

The fourth proportional to 19,647.20, 29,477.84 and 9,785.60 is: 14,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.20 : 29,477.84 = 9,785.60 : x
  2. Step 2: Convert to fraction form
    19,647.20/29,477.84 = 9,785.60/x
  3. Step 3: Cross multiply
    19,647.20x = 29,477.84 × 9,785.60
  4. Step 4: Simplify right side
    19,647.20x = 288,458,351.10
  5. Step 5: Solve for x
    x = 288,458,351.10/19,647.20
  6. Step 6: Final answer
    x = 14,681.91

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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.