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Finding the Fourth Proportional to 14,012.64, 21,020.16 and 4,650.66

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Solution

The fourth proportional to 14,012.64, 21,020.16 and 4,650.66 is: 6,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.64 : 21,020.16 = 4,650.66 : x
  2. Step 2: Convert to fraction form
    14,012.64/21,020.16 = 4,650.66/x
  3. Step 3: Cross multiply
    14,012.64x = 21,020.16 × 4,650.66
  4. Step 4: Simplify right side
    14,012.64x = 97,757,617.31
  5. Step 5: Solve for x
    x = 97,757,617.31/14,012.64
  6. Step 6: Final answer
    x = 6,976.39

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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.