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Finding the Fourth Proportional to 16,420.74, 22,662.84 and 9,710.30

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Solution

The fourth proportional to 16,420.74, 22,662.84 and 9,710.30 is: 13,401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.74 : 22,662.84 = 9,710.30 : x
  2. Step 2: Convert to fraction form
    16,420.74/22,662.84 = 9,710.30/x
  3. Step 3: Cross multiply
    16,420.74x = 22,662.84 × 9,710.30
  4. Step 4: Simplify right side
    16,420.74x = 220,062,861.94
  5. Step 5: Solve for x
    x = 220,062,861.94/16,420.74
  6. Step 6: Final answer
    x = 13,401.52

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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.