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Finding the Fourth Proportional to 14,502.49, 20,012.75 and 8,214.91

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Solution

The fourth proportional to 14,502.49, 20,012.75 and 8,214.91 is: 11,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.49 : 20,012.75 = 8,214.91 : x
  2. Step 2: Convert to fraction form
    14,502.49/20,012.75 = 8,214.91/x
  3. Step 3: Cross multiply
    14,502.49x = 20,012.75 × 8,214.91
  4. Step 4: Simplify right side
    14,502.49x = 164,402,940.10
  5. Step 5: Solve for x
    x = 164,402,940.10/14,502.49
  6. Step 6: Final answer
    x = 11,336.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.