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Finding the Fourth Proportional to 14,908, 22,364.16 and 4,519.76

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Solution

The fourth proportional to 14,908, 22,364.16 and 4,519.76 is: 6,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,908 : 22,364.16 = 4,519.76 : x
  2. Step 2: Convert to fraction form
    14,908/22,364.16 = 4,519.76/x
  3. Step 3: Cross multiply
    14,908x = 22,364.16 × 4,519.76
  4. Step 4: Simplify right side
    14,908x = 101,080,635.80
  5. Step 5: Solve for x
    x = 101,080,635.80/14,908
  6. Step 6: Final answer
    x = 6,780.29

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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.