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Finding the Fourth Proportional to 14,101.75, 21,162.35 and 4,867.75

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Solution

The fourth proportional to 14,101.75, 21,162.35 and 4,867.75 is: 7,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.75 : 21,162.35 = 4,867.75 : x
  2. Step 2: Convert to fraction form
    14,101.75/21,162.35 = 4,867.75/x
  3. Step 3: Cross multiply
    14,101.75x = 21,162.35 × 4,867.75
  4. Step 4: Simplify right side
    14,101.75x = 103,013,029.21
  5. Step 5: Solve for x
    x = 103,013,029.21/14,101.75
  6. Step 6: Final answer
    x = 7,304.98

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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.