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Finding the Fourth Proportional to 17,249, 23,803.78 and 9,797.16

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Solution

The fourth proportional to 17,249, 23,803.78 and 9,797.16 is: 13,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,249 : 23,803.78 = 9,797.16 : x
  2. Step 2: Convert to fraction form
    17,249/23,803.78 = 9,797.16/x
  3. Step 3: Cross multiply
    17,249x = 23,803.78 × 9,797.16
  4. Step 4: Simplify right side
    17,249x = 233,209,441.26
  5. Step 5: Solve for x
    x = 233,209,441.26/17,249
  6. Step 6: Final answer
    x = 13,520.17

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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.