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Finding the Fourth Proportional to 14,520.46, 21,778.64 and 4,658.46

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Solution

The fourth proportional to 14,520.46, 21,778.64 and 4,658.46 is: 6,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520.46 : 21,778.64 = 4,658.46 : x
  2. Step 2: Convert to fraction form
    14,520.46/21,778.64 = 4,658.46/x
  3. Step 3: Cross multiply
    14,520.46x = 21,778.64 × 4,658.46
  4. Step 4: Simplify right side
    14,520.46x = 101,454,923.29
  5. Step 5: Solve for x
    x = 101,454,923.29/14,520.46
  6. Step 6: Final answer
    x = 6,987.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.