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Finding the Fourth Proportional to 21,749.72, 32,605.02 and 7,889

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Solution

The fourth proportional to 21,749.72, 32,605.02 and 7,889 is: 11,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,749.72 : 32,605.02 = 7,889 : x
  2. Step 2: Convert to fraction form
    21,749.72/32,605.02 = 7,889/x
  3. Step 3: Cross multiply
    21,749.72x = 32,605.02 × 7,889
  4. Step 4: Simplify right side
    21,749.72x = 257,221,002.78
  5. Step 5: Solve for x
    x = 257,221,002.78/21,749.72
  6. Step 6: Final answer
    x = 11,826.41

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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.