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Finding the Fourth Proportional to 14,309.46, 21,455.82 and 6,514.02

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Solution

The fourth proportional to 14,309.46, 21,455.82 and 6,514.02 is: 9,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.46 : 21,455.82 = 6,514.02 : x
  2. Step 2: Convert to fraction form
    14,309.46/21,455.82 = 6,514.02/x
  3. Step 3: Cross multiply
    14,309.46x = 21,455.82 × 6,514.02
  4. Step 4: Simplify right side
    14,309.46x = 139,763,640.60
  5. Step 5: Solve for x
    x = 139,763,640.60/14,309.46
  6. Step 6: Final answer
    x = 9,767.22

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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.