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Finding the Fourth Proportional to 21,623.28, 32,409 and 9,933.36

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Solution

The fourth proportional to 21,623.28, 32,409 and 9,933.36 is: 14,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,623.28 : 32,409 = 9,933.36 : x
  2. Step 2: Convert to fraction form
    21,623.28/32,409 = 9,933.36/x
  3. Step 3: Cross multiply
    21,623.28x = 32,409 × 9,933.36
  4. Step 4: Simplify right side
    21,623.28x = 321,930,264.24
  5. Step 5: Solve for x
    x = 321,930,264.24/21,623.28
  6. Step 6: Final answer
    x = 14,888.13

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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.