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Finding the Fourth Proportional to 19,967.94, 29,951.91 and 9,434.49

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Solution

The fourth proportional to 19,967.94, 29,951.91 and 9,434.49 is: 14,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967.94 : 29,951.91 = 9,434.49 : x
  2. Step 2: Convert to fraction form
    19,967.94/29,951.91 = 9,434.49/x
  3. Step 3: Cross multiply
    19,967.94x = 29,951.91 × 9,434.49
  4. Step 4: Simplify right side
    19,967.94x = 282,580,995.38
  5. Step 5: Solve for x
    x = 282,580,995.38/19,967.94
  6. Step 6: Final answer
    x = 14,151.74

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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.