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Finding the Fourth Proportional to 21,007, 31,532.82 and 12,707.96

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Solution

The fourth proportional to 21,007, 31,532.82 and 12,707.96 is: 19,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007 : 31,532.82 = 12,707.96 : x
  2. Step 2: Convert to fraction form
    21,007/31,532.82 = 12,707.96/x
  3. Step 3: Cross multiply
    21,007x = 31,532.82 × 12,707.96
  4. Step 4: Simplify right side
    21,007x = 400,717,815.25
  5. Step 5: Solve for x
    x = 400,717,815.25/21,007
  6. Step 6: Final answer
    x = 19,075.44

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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.