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Finding the Fourth Proportional to 19,647.36, 29,471.12 and 9,798.88

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Solution

The fourth proportional to 19,647.36, 29,471.12 and 9,798.88 is: 14,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.36 : 29,471.12 = 9,798.88 : x
  2. Step 2: Convert to fraction form
    19,647.36/29,471.12 = 9,798.88/x
  3. Step 3: Cross multiply
    19,647.36x = 29,471.12 × 9,798.88
  4. Step 4: Simplify right side
    19,647.36x = 288,783,968.35
  5. Step 5: Solve for x
    x = 288,783,968.35/19,647.36
  6. Step 6: Final answer
    x = 14,698.36

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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.