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Finding the Fourth Proportional to 16,204.30, 22,358.03 and 9,130.73

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Solution

The fourth proportional to 16,204.30, 22,358.03 and 9,130.73 is: 12,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.30 : 22,358.03 = 9,130.73 : x
  2. Step 2: Convert to fraction form
    16,204.30/22,358.03 = 9,130.73/x
  3. Step 3: Cross multiply
    16,204.30x = 22,358.03 × 9,130.73
  4. Step 4: Simplify right side
    16,204.30x = 204,144,977.82
  5. Step 5: Solve for x
    x = 204,144,977.82/16,204.30
  6. Step 6: Final answer
    x = 12,598.20

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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.