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Finding the Fourth Proportional to 17,706.96, 24,435.48 and 9,749.01

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Solution

The fourth proportional to 17,706.96, 24,435.48 and 9,749.01 is: 13,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.96 : 24,435.48 = 9,749.01 : x
  2. Step 2: Convert to fraction form
    17,706.96/24,435.48 = 9,749.01/x
  3. Step 3: Cross multiply
    17,706.96x = 24,435.48 × 9,749.01
  4. Step 4: Simplify right side
    17,706.96x = 238,221,738.87
  5. Step 5: Solve for x
    x = 238,221,738.87/17,706.96
  6. Step 6: Final answer
    x = 13,453.57

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1.5x scale

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.