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Finding the Fourth Proportional to 19,712.46, 29,543.02 and 8,012

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Solution

The fourth proportional to 19,712.46, 29,543.02 and 8,012 is: 12,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712.46 : 29,543.02 = 8,012 : x
  2. Step 2: Convert to fraction form
    19,712.46/29,543.02 = 8,012/x
  3. Step 3: Cross multiply
    19,712.46x = 29,543.02 × 8,012
  4. Step 4: Simplify right side
    19,712.46x = 236,698,676.24
  5. Step 5: Solve for x
    x = 236,698,676.24/19,712.46
  6. Step 6: Final answer
    x = 12,007.57

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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.