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Finding the Fourth Proportional to 16,533.99, 22,817.30 and 9,462.69

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Solution

The fourth proportional to 16,533.99, 22,817.30 and 9,462.69 is: 13,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.99 : 22,817.30 = 9,462.69 : x
  2. Step 2: Convert to fraction form
    16,533.99/22,817.30 = 9,462.69/x
  3. Step 3: Cross multiply
    16,533.99x = 22,817.30 × 9,462.69
  4. Step 4: Simplify right side
    16,533.99x = 215,912,946.11
  5. Step 5: Solve for x
    x = 215,912,946.11/16,533.99
  6. Step 6: Final answer
    x = 13,058.74

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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.