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Finding the Fourth Proportional to 21,927.31, 30,257.35 and 12,975.19

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Solution

The fourth proportional to 21,927.31, 30,257.35 and 12,975.19 is: 17,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927.31 : 30,257.35 = 12,975.19 : x
  2. Step 2: Convert to fraction form
    21,927.31/30,257.35 = 12,975.19/x
  3. Step 3: Cross multiply
    21,927.31x = 30,257.35 × 12,975.19
  4. Step 4: Simplify right side
    21,927.31x = 392,594,865.15
  5. Step 5: Solve for x
    x = 392,594,865.15/21,927.31
  6. Step 6: Final answer
    x = 17,904.38

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Why These Related Problems?

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