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Finding the Fourth Proportional to 24,179, 33,367.14 and 14,114.42

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Solution

The fourth proportional to 24,179, 33,367.14 and 14,114.42 is: 19,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179 : 33,367.14 = 14,114.42 : x
  2. Step 2: Convert to fraction form
    24,179/33,367.14 = 14,114.42/x
  3. Step 3: Cross multiply
    24,179x = 33,367.14 × 14,114.42
  4. Step 4: Simplify right side
    24,179x = 470,957,828.16
  5. Step 5: Solve for x
    x = 470,957,828.16/24,179
  6. Step 6: Final answer
    x = 19,477.97

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1.5x scale

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.