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Finding the Fourth Proportional to 21,945, 32,901.03 and 7,145.13

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Solution

The fourth proportional to 21,945, 32,901.03 and 7,145.13 is: 10,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,945 : 32,901.03 = 7,145.13 : x
  2. Step 2: Convert to fraction form
    21,945/32,901.03 = 7,145.13/x
  3. Step 3: Cross multiply
    21,945x = 32,901.03 × 7,145.13
  4. Step 4: Simplify right side
    21,945x = 235,082,136.48
  5. Step 5: Solve for x
    x = 235,082,136.48/21,945
  6. Step 6: Final answer
    x = 10,712.33

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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.