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Finding the Fourth Proportional to 19,093.65, 28,602.14 and 9,733.29

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Solution

The fourth proportional to 19,093.65, 28,602.14 and 9,733.29 is: 14,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,093.65 : 28,602.14 = 9,733.29 : x
  2. Step 2: Convert to fraction form
    19,093.65/28,602.14 = 9,733.29/x
  3. Step 3: Cross multiply
    19,093.65x = 28,602.14 × 9,733.29
  4. Step 4: Simplify right side
    19,093.65x = 278,392,874.57
  5. Step 5: Solve for x
    x = 278,392,874.57/19,093.65
  6. Step 6: Final answer
    x = 14,580.39

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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.