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Finding the Fourth Proportional to 21,004.65, 31,464.36 and 9,744.17

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Solution

The fourth proportional to 21,004.65, 31,464.36 and 9,744.17 is: 14,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.65 : 31,464.36 = 9,744.17 : x
  2. Step 2: Convert to fraction form
    21,004.65/31,464.36 = 9,744.17/x
  3. Step 3: Cross multiply
    21,004.65x = 31,464.36 × 9,744.17
  4. Step 4: Simplify right side
    21,004.65x = 306,593,915.46
  5. Step 5: Solve for x
    x = 306,593,915.46/21,004.65
  6. Step 6: Final answer
    x = 14,596.48

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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.