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Finding the Fourth Proportional to 17,920.64, 24,727.68 and 10,366.38

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Solution

The fourth proportional to 17,920.64, 24,727.68 and 10,366.38 is: 14,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.64 : 24,727.68 = 10,366.38 : x
  2. Step 2: Convert to fraction form
    17,920.64/24,727.68 = 10,366.38/x
  3. Step 3: Cross multiply
    17,920.64x = 24,727.68 × 10,366.38
  4. Step 4: Simplify right side
    17,920.64x = 256,336,527.40
  5. Step 5: Solve for x
    x = 256,336,527.40/17,920.64
  6. Step 6: Final answer
    x = 14,303.98

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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.