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Finding the Fourth Proportional to 17,364.63, 23,963.13 and 9,406.86

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Solution

The fourth proportional to 17,364.63, 23,963.13 and 9,406.86 is: 12,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364.63 : 23,963.13 = 9,406.86 : x
  2. Step 2: Convert to fraction form
    17,364.63/23,963.13 = 9,406.86/x
  3. Step 3: Cross multiply
    17,364.63x = 23,963.13 × 9,406.86
  4. Step 4: Simplify right side
    17,364.63x = 225,417,809.07
  5. Step 5: Solve for x
    x = 225,417,809.07/17,364.63
  6. Step 6: Final answer
    x = 12,981.43

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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.