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Finding the Fourth Proportional to 16,762.12, 23,129.31 and 10,046.20

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Solution

The fourth proportional to 16,762.12, 23,129.31 and 10,046.20 is: 13,862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.12 : 23,129.31 = 10,046.20 : x
  2. Step 2: Convert to fraction form
    16,762.12/23,129.31 = 10,046.20/x
  3. Step 3: Cross multiply
    16,762.12x = 23,129.31 × 10,046.20
  4. Step 4: Simplify right side
    16,762.12x = 232,361,674.12
  5. Step 5: Solve for x
    x = 232,361,674.12/16,762.12
  6. Step 6: Final answer
    x = 13,862.31

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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.