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Finding the Fourth Proportional to 21,262.07, 31,893.41 and 7,411.07

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Solution

The fourth proportional to 21,262.07, 31,893.41 and 7,411.07 is: 11,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.07 : 31,893.41 = 7,411.07 : x
  2. Step 2: Convert to fraction form
    21,262.07/31,893.41 = 7,411.07/x
  3. Step 3: Cross multiply
    21,262.07x = 31,893.41 × 7,411.07
  4. Step 4: Simplify right side
    21,262.07x = 236,364,392.31
  5. Step 5: Solve for x
    x = 236,364,392.31/21,262.07
  6. Step 6: Final answer
    x = 11,116.71

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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.