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Finding the Fourth Proportional to 16,829.82, 23,254.02 and 13,319.69

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Solution

The fourth proportional to 16,829.82, 23,254.02 and 13,319.69 is: 18,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829.82 : 23,254.02 = 13,319.69 : x
  2. Step 2: Convert to fraction form
    16,829.82/23,254.02 = 13,319.69/x
  3. Step 3: Cross multiply
    16,829.82x = 23,254.02 × 13,319.69
  4. Step 4: Simplify right side
    16,829.82x = 309,736,221.38
  5. Step 5: Solve for x
    x = 309,736,221.38/16,829.82
  6. Step 6: Final answer
    x = 18,404.01

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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.