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Finding the Fourth Proportional to 21,362.28, 32,038.16 and 9,673.17

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Solution

The fourth proportional to 21,362.28, 32,038.16 and 9,673.17 is: 14,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,362.28 : 32,038.16 = 9,673.17 : x
  2. Step 2: Convert to fraction form
    21,362.28/32,038.16 = 9,673.17/x
  3. Step 3: Cross multiply
    21,362.28x = 32,038.16 × 9,673.17
  4. Step 4: Simplify right side
    21,362.28x = 309,910,519.80
  5. Step 5: Solve for x
    x = 309,910,519.80/21,362.28
  6. Step 6: Final answer
    x = 14,507.37

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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.