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Finding the Fourth Proportional to 17,097.92, 23,597.16 and 10,384.64

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Solution

The fourth proportional to 17,097.92, 23,597.16 and 10,384.64 is: 14,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.92 : 23,597.16 = 10,384.64 : x
  2. Step 2: Convert to fraction form
    17,097.92/23,597.16 = 10,384.64/x
  3. Step 3: Cross multiply
    17,097.92x = 23,597.16 × 10,384.64
  4. Step 4: Simplify right side
    17,097.92x = 245,048,011.62
  5. Step 5: Solve for x
    x = 245,048,011.62/17,097.92
  6. Step 6: Final answer
    x = 14,332.04

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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.