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Finding the Fourth Proportional to 21,434.99, 32,173.27 and 10,349.46

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Solution

The fourth proportional to 21,434.99, 32,173.27 and 10,349.46 is: 15,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,434.99 : 32,173.27 = 10,349.46 : x
  2. Step 2: Convert to fraction form
    21,434.99/32,173.27 = 10,349.46/x
  3. Step 3: Cross multiply
    21,434.99x = 32,173.27 × 10,349.46
  4. Step 4: Simplify right side
    21,434.99x = 332,975,945.06
  5. Step 5: Solve for x
    x = 332,975,945.06/21,434.99
  6. Step 6: Final answer
    x = 15,534.23

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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.