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Finding the Fourth Proportional to 24,172, 33,357.48 and 14,107.42

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Solution

The fourth proportional to 24,172, 33,357.48 and 14,107.42 is: 19,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,172 : 33,357.48 = 14,107.42 : x
  2. Step 2: Convert to fraction form
    24,172/33,357.48 = 14,107.42/x
  3. Step 3: Cross multiply
    24,172x = 33,357.48 × 14,107.42
  4. Step 4: Simplify right side
    24,172x = 470,587,980.50
  5. Step 5: Solve for x
    x = 470,587,980.50/24,172
  6. Step 6: Final answer
    x = 19,468.31

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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.