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Finding the Fourth Proportional to 21,713, 32,546.76 and 10,033.88

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Solution

The fourth proportional to 21,713, 32,546.76 and 10,033.88 is: 15,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713 : 32,546.76 = 10,033.88 : x
  2. Step 2: Convert to fraction form
    21,713/32,546.76 = 10,033.88/x
  3. Step 3: Cross multiply
    21,713x = 32,546.76 × 10,033.88
  4. Step 4: Simplify right side
    21,713x = 326,570,284.23
  5. Step 5: Solve for x
    x = 326,570,284.23/21,713
  6. Step 6: Final answer
    x = 15,040.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.