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Finding the Fourth Proportional to 16,201.84, 22,357.20 and 9,130

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Solution

The fourth proportional to 16,201.84, 22,357.20 and 9,130 is: 12,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.84 : 22,357.20 = 9,130 : x
  2. Step 2: Convert to fraction form
    16,201.84/22,357.20 = 9,130/x
  3. Step 3: Cross multiply
    16,201.84x = 22,357.20 × 9,130
  4. Step 4: Simplify right side
    16,201.84x = 204,121,236
  5. Step 5: Solve for x
    x = 204,121,236/16,201.84
  6. Step 6: Final answer
    x = 12,598.65

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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.