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Finding the Fourth Proportional to 17,725.38, 24,459.98 and 10,650.44

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Solution

The fourth proportional to 17,725.38, 24,459.98 and 10,650.44 is: 14,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725.38 : 24,459.98 = 10,650.44 : x
  2. Step 2: Convert to fraction form
    17,725.38/24,459.98 = 10,650.44/x
  3. Step 3: Cross multiply
    17,725.38x = 24,459.98 × 10,650.44
  4. Step 4: Simplify right side
    17,725.38x = 260,509,549.39
  5. Step 5: Solve for x
    x = 260,509,549.39/17,725.38
  6. Step 6: Final answer
    x = 14,696.98

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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.