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Finding the Fourth Proportional to 12,465.63, 18,692.96 and 4,668.98

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Solution

The fourth proportional to 12,465.63, 18,692.96 and 4,668.98 is: 7,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.63 : 18,692.96 = 4,668.98 : x
  2. Step 2: Convert to fraction form
    12,465.63/18,692.96 = 4,668.98/x
  3. Step 3: Cross multiply
    12,465.63x = 18,692.96 × 4,668.98
  4. Step 4: Simplify right side
    12,465.63x = 87,276,939.57
  5. Step 5: Solve for x
    x = 87,276,939.57/12,465.63
  6. Step 6: Final answer
    x = 7,001.41

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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.