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Finding the Fourth Proportional to 14,540.91, 21,811.92 and 4,678.89

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Solution

The fourth proportional to 14,540.91, 21,811.92 and 4,678.89 is: 7,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.91 : 21,811.92 = 4,678.89 : x
  2. Step 2: Convert to fraction form
    14,540.91/21,811.92 = 4,678.89/x
  3. Step 3: Cross multiply
    14,540.91x = 21,811.92 × 4,678.89
  4. Step 4: Simplify right side
    14,540.91x = 102,055,574.37
  5. Step 5: Solve for x
    x = 102,055,574.37/14,540.91
  6. Step 6: Final answer
    x = 7,018.51

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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.