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Finding the Fourth Proportional to 19,026, 28,538.46 and 5,876.46

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Solution

The fourth proportional to 19,026, 28,538.46 and 5,876.46 is: 8,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,026 : 28,538.46 = 5,876.46 : x
  2. Step 2: Convert to fraction form
    19,026/28,538.46 = 5,876.46/x
  3. Step 3: Cross multiply
    19,026x = 28,538.46 × 5,876.46
  4. Step 4: Simplify right side
    19,026x = 167,705,118.65
  5. Step 5: Solve for x
    x = 167,705,118.65/19,026
  6. Step 6: Final answer
    x = 8,814.52

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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.