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Finding the Fourth Proportional to 21,005.28, 31,503.51 and 9,311.04

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Solution

The fourth proportional to 21,005.28, 31,503.51 and 9,311.04 is: 13,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.28 : 31,503.51 = 9,311.04 : x
  2. Step 2: Convert to fraction form
    21,005.28/31,503.51 = 9,311.04/x
  3. Step 3: Cross multiply
    21,005.28x = 31,503.51 × 9,311.04
  4. Step 4: Simplify right side
    21,005.28x = 293,330,441.75
  5. Step 5: Solve for x
    x = 293,330,441.75/21,005.28
  6. Step 6: Final answer
    x = 13,964.61

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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.