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Finding the Fourth Proportional to 19,647.24, 29,460.09 and 7,789

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Solution

The fourth proportional to 19,647.24, 29,460.09 and 7,789 is: 11,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.24 : 29,460.09 = 7,789 : x
  2. Step 2: Convert to fraction form
    19,647.24/29,460.09 = 7,789/x
  3. Step 3: Cross multiply
    19,647.24x = 29,460.09 × 7,789
  4. Step 4: Simplify right side
    19,647.24x = 229,464,641.01
  5. Step 5: Solve for x
    x = 229,464,641.01/19,647.24
  6. Step 6: Final answer
    x = 11,679.23

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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.