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Finding the Fourth Proportional to 21,431.00, 32,146.50 and 9,747.56

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Solution

The fourth proportional to 21,431.00, 32,146.50 and 9,747.56 is: 14,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.00 : 32,146.50 = 9,747.56 : x
  2. Step 2: Convert to fraction form
    21,431.00/32,146.50 = 9,747.56/x
  3. Step 3: Cross multiply
    21,431.00x = 32,146.50 × 9,747.56
  4. Step 4: Simplify right side
    21,431.00x = 313,349,776.81
  5. Step 5: Solve for x
    x = 313,349,776.81/21,431.00
  6. Step 6: Final answer
    x = 14,621.34

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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.