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Finding the Fourth Proportional to 17,037.93, 23,512.07 and 9,585.93

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Solution

The fourth proportional to 17,037.93, 23,512.07 and 9,585.93 is: 13,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,037.93 : 23,512.07 = 9,585.93 : x
  2. Step 2: Convert to fraction form
    17,037.93/23,512.07 = 9,585.93/x
  3. Step 3: Cross multiply
    17,037.93x = 23,512.07 × 9,585.93
  4. Step 4: Simplify right side
    17,037.93x = 225,385,009.25
  5. Step 5: Solve for x
    x = 225,385,009.25/17,037.93
  6. Step 6: Final answer
    x = 13,228.43

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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.