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Finding the Fourth Proportional to 17,330.40, 23,913.30 and 9,776.40

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Solution

The fourth proportional to 17,330.40, 23,913.30 and 9,776.40 is: 13,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,330.40 : 23,913.30 = 9,776.40 : x
  2. Step 2: Convert to fraction form
    17,330.40/23,913.30 = 9,776.40/x
  3. Step 3: Cross multiply
    17,330.40x = 23,913.30 × 9,776.40
  4. Step 4: Simplify right side
    17,330.40x = 233,785,986.12
  5. Step 5: Solve for x
    x = 233,785,986.12/17,330.40
  6. Step 6: Final answer
    x = 13,489.94

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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.