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Finding the Fourth Proportional to 16,379.34, 22,605.92 and 10,009.60

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Solution

The fourth proportional to 16,379.34, 22,605.92 and 10,009.60 is: 13,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,379.34 : 22,605.92 = 10,009.60 : x
  2. Step 2: Convert to fraction form
    16,379.34/22,605.92 = 10,009.60/x
  3. Step 3: Cross multiply
    16,379.34x = 22,605.92 × 10,009.60
  4. Step 4: Simplify right side
    16,379.34x = 226,276,274.96
  5. Step 5: Solve for x
    x = 226,276,274.96/16,379.34
  6. Step 6: Final answer
    x = 13,814.74

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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.