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Finding the Fourth Proportional to 16,581.63, 22,882.65 and 9,129.63

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Solution

The fourth proportional to 16,581.63, 22,882.65 and 9,129.63 is: 12,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581.63 : 22,882.65 = 9,129.63 : x
  2. Step 2: Convert to fraction form
    16,581.63/22,882.65 = 9,129.63/x
  3. Step 3: Cross multiply
    16,581.63x = 22,882.65 × 9,129.63
  4. Step 4: Simplify right side
    16,581.63x = 208,910,127.92
  5. Step 5: Solve for x
    x = 208,910,127.92/16,581.63
  6. Step 6: Final answer
    x = 12,598.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.