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Finding the Fourth Proportional to 16,945.40, 23,386 and 9,392.42

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Solution

The fourth proportional to 16,945.40, 23,386 and 9,392.42 is: 12,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,945.40 : 23,386 = 9,392.42 : x
  2. Step 2: Convert to fraction form
    16,945.40/23,386 = 9,392.42/x
  3. Step 3: Cross multiply
    16,945.40x = 23,386 × 9,392.42
  4. Step 4: Simplify right side
    16,945.40x = 219,651,134.12
  5. Step 5: Solve for x
    x = 219,651,134.12/16,945.40
  6. Step 6: Final answer
    x = 12,962.29

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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.