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Finding the Fourth Proportional to 17,364.64, 26,048.16 and 6,976.40

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Solution

The fourth proportional to 17,364.64, 26,048.16 and 6,976.40 is: 10,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364.64 : 26,048.16 = 6,976.40 : x
  2. Step 2: Convert to fraction form
    17,364.64/26,048.16 = 6,976.40/x
  3. Step 3: Cross multiply
    17,364.64x = 26,048.16 × 6,976.40
  4. Step 4: Simplify right side
    17,364.64x = 181,722,383.42
  5. Step 5: Solve for x
    x = 181,722,383.42/17,364.64
  6. Step 6: Final answer
    x = 10,465.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.