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Finding the Fourth Proportional to 16,430.34, 22,674.82 and 10,142.82

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Solution

The fourth proportional to 16,430.34, 22,674.82 and 10,142.82 is: 13,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.34 : 22,674.82 = 10,142.82 : x
  2. Step 2: Convert to fraction form
    16,430.34/22,674.82 = 10,142.82/x
  3. Step 3: Cross multiply
    16,430.34x = 22,674.82 × 10,142.82
  4. Step 4: Simplify right side
    16,430.34x = 229,986,617.79
  5. Step 5: Solve for x
    x = 229,986,617.79/16,430.34
  6. Step 6: Final answer
    x = 13,997.68

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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.