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Finding the Fourth Proportional to 21,072, 31,584.96 and 9,368.64

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Solution

The fourth proportional to 21,072, 31,584.96 and 9,368.64 is: 14,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072 : 31,584.96 = 9,368.64 : x
  2. Step 2: Convert to fraction form
    21,072/31,584.96 = 9,368.64/x
  3. Step 3: Cross multiply
    21,072x = 31,584.96 × 9,368.64
  4. Step 4: Simplify right side
    21,072x = 295,908,119.65
  5. Step 5: Solve for x
    x = 295,908,119.65/21,072
  6. Step 6: Final answer
    x = 14,042.72

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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.