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Finding the Fourth Proportional to 19,857.94, 29,733.54 and 10,478.44

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Solution

The fourth proportional to 19,857.94, 29,733.54 and 10,478.44 is: 15,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.94 : 29,733.54 = 10,478.44 : x
  2. Step 2: Convert to fraction form
    19,857.94/29,733.54 = 10,478.44/x
  3. Step 3: Cross multiply
    19,857.94x = 29,733.54 × 10,478.44
  4. Step 4: Simplify right side
    19,857.94x = 311,561,114.88
  5. Step 5: Solve for x
    x = 311,561,114.88/19,857.94
  6. Step 6: Final answer
    x = 15,689.50

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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.