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Finding the Fourth Proportional to 19,083.96, 28,595.16 and 10,323

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Solution

The fourth proportional to 19,083.96, 28,595.16 and 10,323 is: 15,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,083.96 : 28,595.16 = 10,323 : x
  2. Step 2: Convert to fraction form
    19,083.96/28,595.16 = 10,323/x
  3. Step 3: Cross multiply
    19,083.96x = 28,595.16 × 10,323
  4. Step 4: Simplify right side
    19,083.96x = 295,187,836.68
  5. Step 5: Solve for x
    x = 295,187,836.68/19,083.96
  6. Step 6: Final answer
    x = 15,467.85

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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.