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Finding the Fourth Proportional to 20,248.50, 30,388.41 and 14,052

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Solution

The fourth proportional to 20,248.50, 30,388.41 and 14,052 is: 21,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,248.50 : 30,388.41 = 14,052 : x
  2. Step 2: Convert to fraction form
    20,248.50/30,388.41 = 14,052/x
  3. Step 3: Cross multiply
    20,248.50x = 30,388.41 × 14,052
  4. Step 4: Simplify right side
    20,248.50x = 427,017,937.32
  5. Step 5: Solve for x
    x = 427,017,937.32/20,248.50
  6. Step 6: Final answer
    x = 21,088.87

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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.