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Finding the Fourth Proportional to 17,984.32, 24,817.85 and 10,026.38

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Solution

The fourth proportional to 17,984.32, 24,817.85 and 10,026.38 is: 13,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984.32 : 24,817.85 = 10,026.38 : x
  2. Step 2: Convert to fraction form
    17,984.32/24,817.85 = 10,026.38/x
  3. Step 3: Cross multiply
    17,984.32x = 24,817.85 × 10,026.38
  4. Step 4: Simplify right side
    17,984.32x = 248,833,194.88
  5. Step 5: Solve for x
    x = 248,833,194.88/17,984.32
  6. Step 6: Final answer
    x = 13,836.12

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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.