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Finding the Fourth Proportional to 21,764, 30,034.32 and 12,932

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Solution

The fourth proportional to 21,764, 30,034.32 and 12,932 is: 17,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,764 : 30,034.32 = 12,932 : x
  2. Step 2: Convert to fraction form
    21,764/30,034.32 = 12,932/x
  3. Step 3: Cross multiply
    21,764x = 30,034.32 × 12,932
  4. Step 4: Simplify right side
    21,764x = 388,403,826.24
  5. Step 5: Solve for x
    x = 388,403,826.24/21,764
  6. Step 6: Final answer
    x = 17,846.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.