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Finding the Fourth Proportional to 29,428.63, 40,610.65 and 16,683

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Solution

The fourth proportional to 29,428.63, 40,610.65 and 16,683 is: 23,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,428.63 : 40,610.65 = 16,683 : x
  2. Step 2: Convert to fraction form
    29,428.63/40,610.65 = 16,683/x
  3. Step 3: Cross multiply
    29,428.63x = 40,610.65 × 16,683
  4. Step 4: Simplify right side
    29,428.63x = 677,507,473.95
  5. Step 5: Solve for x
    x = 677,507,473.95/29,428.63
  6. Step 6: Final answer
    x = 23,022.05

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Why These Related Problems?

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