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Finding the Fourth Proportional to 14,461.47, 21,687.84 and 6,141.42

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Solution

The fourth proportional to 14,461.47, 21,687.84 and 6,141.42 is: 9,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.47 : 21,687.84 = 6,141.42 : x
  2. Step 2: Convert to fraction form
    14,461.47/21,687.84 = 6,141.42/x
  3. Step 3: Cross multiply
    14,461.47x = 21,687.84 × 6,141.42
  4. Step 4: Simplify right side
    14,461.47x = 133,194,134.33
  5. Step 5: Solve for x
    x = 133,194,134.33/14,461.47
  6. Step 6: Final answer
    x = 9,210.28

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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.