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Finding the Fourth Proportional to 19,901.94, 29,859.39 and 9,514.50

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Solution

The fourth proportional to 19,901.94, 29,859.39 and 9,514.50 is: 14,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901.94 : 29,859.39 = 9,514.50 : x
  2. Step 2: Convert to fraction form
    19,901.94/29,859.39 = 9,514.50/x
  3. Step 3: Cross multiply
    19,901.94x = 29,859.39 × 9,514.50
  4. Step 4: Simplify right side
    19,901.94x = 284,097,166.16
  5. Step 5: Solve for x
    x = 284,097,166.16/19,901.94
  6. Step 6: Final answer
    x = 14,274.85

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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.