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Finding the Fourth Proportional to 16,498.14, 22,765.62 and 9,423.21

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Solution

The fourth proportional to 16,498.14, 22,765.62 and 9,423.21 is: 13,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.14 : 22,765.62 = 9,423.21 : x
  2. Step 2: Convert to fraction form
    16,498.14/22,765.62 = 9,423.21/x
  3. Step 3: Cross multiply
    16,498.14x = 22,765.62 × 9,423.21
  4. Step 4: Simplify right side
    16,498.14x = 214,525,218.04
  5. Step 5: Solve for x
    x = 214,525,218.04/16,498.14
  6. Step 6: Final answer
    x = 13,002.99

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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.