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Finding the Fourth Proportional to 14,576.20, 21,871.82 and 6,254.06

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Solution

The fourth proportional to 14,576.20, 21,871.82 and 6,254.06 is: 9,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.20 : 21,871.82 = 6,254.06 : x
  2. Step 2: Convert to fraction form
    14,576.20/21,871.82 = 6,254.06/x
  3. Step 3: Cross multiply
    14,576.20x = 21,871.82 × 6,254.06
  4. Step 4: Simplify right side
    14,576.20x = 136,787,703.89
  5. Step 5: Solve for x
    x = 136,787,703.89/14,576.20
  6. Step 6: Final answer
    x = 9,384.32

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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.