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Finding the Fourth Proportional to 23,675.82, 32,668.08 and 14,245.02

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Solution

The fourth proportional to 23,675.82, 32,668.08 and 14,245.02 is: 19,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,675.82 : 32,668.08 = 14,245.02 : x
  2. Step 2: Convert to fraction form
    23,675.82/32,668.08 = 14,245.02/x
  3. Step 3: Cross multiply
    23,675.82x = 32,668.08 × 14,245.02
  4. Step 4: Simplify right side
    23,675.82x = 465,357,452.96
  5. Step 5: Solve for x
    x = 465,357,452.96/23,675.82
  6. Step 6: Final answer
    x = 19,655.39

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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.