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Finding the Fourth Proportional to 14,431.98, 21,628.84 and 7,411.71

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Solution

The fourth proportional to 14,431.98, 21,628.84 and 7,411.71 is: 11,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.98 : 21,628.84 = 7,411.71 : x
  2. Step 2: Convert to fraction form
    14,431.98/21,628.84 = 7,411.71/x
  3. Step 3: Cross multiply
    14,431.98x = 21,628.84 × 7,411.71
  4. Step 4: Simplify right side
    14,431.98x = 160,306,689.72
  5. Step 5: Solve for x
    x = 160,306,689.72/14,431.98
  6. Step 6: Final answer
    x = 11,107.74

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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.