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Finding the Fourth Proportional to 14,698.74, 22,049.52 and 4,835.64

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Solution

The fourth proportional to 14,698.74, 22,049.52 and 4,835.64 is: 7,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.74 : 22,049.52 = 4,835.64 : x
  2. Step 2: Convert to fraction form
    14,698.74/22,049.52 = 4,835.64/x
  3. Step 3: Cross multiply
    14,698.74x = 22,049.52 × 4,835.64
  4. Step 4: Simplify right side
    14,698.74x = 106,623,540.89
  5. Step 5: Solve for x
    x = 106,623,540.89/14,698.74
  6. Step 6: Final answer
    x = 7,253.92

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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.