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Finding the Fourth Proportional to 28,430, 39,234.96 and 15,854.72

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Solution

The fourth proportional to 28,430, 39,234.96 and 15,854.72 is: 21,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,430 : 39,234.96 = 15,854.72 : x
  2. Step 2: Convert to fraction form
    28,430/39,234.96 = 15,854.72/x
  3. Step 3: Cross multiply
    28,430x = 39,234.96 × 15,854.72
  4. Step 4: Simplify right side
    28,430x = 622,059,305.01
  5. Step 5: Solve for x
    x = 622,059,305.01/28,430
  6. Step 6: Final answer
    x = 21,880.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.