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Finding the Fourth Proportional to 17,751.76, 26,627.64 and 9,966.04

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Solution

The fourth proportional to 17,751.76, 26,627.64 and 9,966.04 is: 14,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751.76 : 26,627.64 = 9,966.04 : x
  2. Step 2: Convert to fraction form
    17,751.76/26,627.64 = 9,966.04/x
  3. Step 3: Cross multiply
    17,751.76x = 26,627.64 × 9,966.04
  4. Step 4: Simplify right side
    17,751.76x = 265,372,021.40
  5. Step 5: Solve for x
    x = 265,372,021.40/17,751.76
  6. Step 6: Final answer
    x = 14,949.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.