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Finding the Fourth Proportional to 14,809.42, 22,222.88 and 5,456

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Solution

The fourth proportional to 14,809.42, 22,222.88 and 5,456 is: 8,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.42 : 22,222.88 = 5,456 : x
  2. Step 2: Convert to fraction form
    14,809.42/22,222.88 = 5,456/x
  3. Step 3: Cross multiply
    14,809.42x = 22,222.88 × 5,456
  4. Step 4: Simplify right side
    14,809.42x = 121,248,033.28
  5. Step 5: Solve for x
    x = 121,248,033.28/14,809.42
  6. Step 6: Final answer
    x = 8,187.22

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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.