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Finding the Fourth Proportional to 14,653.64, 21,983.16 and 4,793.47

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Solution

The fourth proportional to 14,653.64, 21,983.16 and 4,793.47 is: 7,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.64 : 21,983.16 = 4,793.47 : x
  2. Step 2: Convert to fraction form
    14,653.64/21,983.16 = 4,793.47/x
  3. Step 3: Cross multiply
    14,653.64x = 21,983.16 × 4,793.47
  4. Step 4: Simplify right side
    14,653.64x = 105,375,617.97
  5. Step 5: Solve for x
    x = 105,375,617.97/14,653.64
  6. Step 6: Final answer
    x = 7,191.09

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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.