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Finding the Fourth Proportional to 14,325.63, 19,769.06 and 7,951.85

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Solution

The fourth proportional to 14,325.63, 19,769.06 and 7,951.85 is: 10,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,325.63 : 19,769.06 = 7,951.85 : x
  2. Step 2: Convert to fraction form
    14,325.63/19,769.06 = 7,951.85/x
  3. Step 3: Cross multiply
    14,325.63x = 19,769.06 × 7,951.85
  4. Step 4: Simplify right side
    14,325.63x = 157,200,599.76
  5. Step 5: Solve for x
    x = 157,200,599.76/14,325.63
  6. Step 6: Final answer
    x = 10,973.38

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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.