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Finding the Fourth Proportional to 21,257.94, 31,889.88 and 9,410.79

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Solution

The fourth proportional to 21,257.94, 31,889.88 and 9,410.79 is: 14,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.94 : 31,889.88 = 9,410.79 : x
  2. Step 2: Convert to fraction form
    21,257.94/31,889.88 = 9,410.79/x
  3. Step 3: Cross multiply
    21,257.94x = 31,889.88 × 9,410.79
  4. Step 4: Simplify right side
    21,257.94x = 300,108,963.81
  5. Step 5: Solve for x
    x = 300,108,963.81/21,257.94
  6. Step 6: Final answer
    x = 14,117.50

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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.