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Finding the Fourth Proportional to 14,566.47, 21,846.44 and 5,682

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Solution

The fourth proportional to 14,566.47, 21,846.44 and 5,682 is: 8,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.47 : 21,846.44 = 5,682 : x
  2. Step 2: Convert to fraction form
    14,566.47/21,846.44 = 5,682/x
  3. Step 3: Cross multiply
    14,566.47x = 21,846.44 × 5,682
  4. Step 4: Simplify right side
    14,566.47x = 124,131,443.67
  5. Step 5: Solve for x
    x = 124,131,443.67/14,566.47
  6. Step 6: Final answer
    x = 8,521.72

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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.