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Finding the Fourth Proportional to 14,042.16, 21,069.35 and 8,198.77

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Solution

The fourth proportional to 14,042.16, 21,069.35 and 8,198.77 is: 12,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.16 : 21,069.35 = 8,198.77 : x
  2. Step 2: Convert to fraction form
    14,042.16/21,069.35 = 8,198.77/x
  3. Step 3: Cross multiply
    14,042.16x = 21,069.35 × 8,198.77
  4. Step 4: Simplify right side
    14,042.16x = 172,742,754.70
  5. Step 5: Solve for x
    x = 172,742,754.70/14,042.16
  6. Step 6: Final answer
    x = 12,301.72

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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.