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Finding the Fourth Proportional to 17,750.06, 24,495.16 and 9,792.28

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Solution

The fourth proportional to 17,750.06, 24,495.16 and 9,792.28 is: 13,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750.06 : 24,495.16 = 9,792.28 : x
  2. Step 2: Convert to fraction form
    17,750.06/24,495.16 = 9,792.28/x
  3. Step 3: Cross multiply
    17,750.06x = 24,495.16 × 9,792.28
  4. Step 4: Simplify right side
    17,750.06x = 239,863,563.32
  5. Step 5: Solve for x
    x = 239,863,563.32/17,750.06
  6. Step 6: Final answer
    x = 13,513.39

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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.