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Finding the Fourth Proportional to 17,335.40, 23,923.08 and 9,782.10

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Solution

The fourth proportional to 17,335.40, 23,923.08 and 9,782.10 is: 13,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,335.40 : 23,923.08 = 9,782.10 : x
  2. Step 2: Convert to fraction form
    17,335.40/23,923.08 = 9,782.10/x
  3. Step 3: Cross multiply
    17,335.40x = 23,923.08 × 9,782.10
  4. Step 4: Simplify right side
    17,335.40x = 234,017,960.87
  5. Step 5: Solve for x
    x = 234,017,960.87/17,335.40
  6. Step 6: Final answer
    x = 13,499.43

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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.