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Finding the Fourth Proportional to 14,506.14, 21,762 and 4,644.66

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Solution

The fourth proportional to 14,506.14, 21,762 and 4,644.66 is: 6,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.14 : 21,762 = 4,644.66 : x
  2. Step 2: Convert to fraction form
    14,506.14/21,762 = 4,644.66/x
  3. Step 3: Cross multiply
    14,506.14x = 21,762 × 4,644.66
  4. Step 4: Simplify right side
    14,506.14x = 101,077,090.92
  5. Step 5: Solve for x
    x = 101,077,090.92/14,506.14
  6. Step 6: Final answer
    x = 6,967.88

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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.