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Finding the Fourth Proportional to 14,302.07, 19,734.03 and 7,928.38

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Solution

The fourth proportional to 14,302.07, 19,734.03 and 7,928.38 is: 10,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.07 : 19,734.03 = 7,928.38 : x
  2. Step 2: Convert to fraction form
    14,302.07/19,734.03 = 7,928.38/x
  3. Step 3: Cross multiply
    14,302.07x = 19,734.03 × 7,928.38
  4. Step 4: Simplify right side
    14,302.07x = 156,458,913.44
  5. Step 5: Solve for x
    x = 156,458,913.44/14,302.07
  6. Step 6: Final answer
    x = 10,939.60

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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.