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Finding the Fourth Proportional to 17,750.12, 24,495.25 and 9,792.35

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Solution

The fourth proportional to 17,750.12, 24,495.25 and 9,792.35 is: 13,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750.12 : 24,495.25 = 9,792.35 : x
  2. Step 2: Convert to fraction form
    17,750.12/24,495.25 = 9,792.35/x
  3. Step 3: Cross multiply
    17,750.12x = 24,495.25 × 9,792.35
  4. Step 4: Simplify right side
    17,750.12x = 239,865,914.38
  5. Step 5: Solve for x
    x = 239,865,914.38/17,750.12
  6. Step 6: Final answer
    x = 13,513.48

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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.