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Finding the Fourth Proportional to 22,050.44, 30,416.82 and 14,498.12

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Solution

The fourth proportional to 22,050.44, 30,416.82 and 14,498.12 is: 19,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,050.44 : 30,416.82 = 14,498.12 : x
  2. Step 2: Convert to fraction form
    22,050.44/30,416.82 = 14,498.12/x
  3. Step 3: Cross multiply
    22,050.44x = 30,416.82 × 14,498.12
  4. Step 4: Simplify right side
    22,050.44x = 440,986,706.38
  5. Step 5: Solve for x
    x = 440,986,706.38/22,050.44
  6. Step 6: Final answer
    x = 19,999.00

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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.