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Finding the Fourth Proportional to 21,809.24, 32,709 and 10,116.08

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Solution

The fourth proportional to 21,809.24, 32,709 and 10,116.08 is: 15,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.24 : 32,709 = 10,116.08 : x
  2. Step 2: Convert to fraction form
    21,809.24/32,709 = 10,116.08/x
  3. Step 3: Cross multiply
    21,809.24x = 32,709 × 10,116.08
  4. Step 4: Simplify right side
    21,809.24x = 330,886,860.72
  5. Step 5: Solve for x
    x = 330,886,860.72/21,809.24
  6. Step 6: Final answer
    x = 15,171.87

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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.