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Finding the Fourth Proportional to 17,632.52, 26,448.06 and 7,244

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Solution

The fourth proportional to 17,632.52, 26,448.06 and 7,244 is: 10,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.52 : 26,448.06 = 7,244 : x
  2. Step 2: Convert to fraction form
    17,632.52/26,448.06 = 7,244/x
  3. Step 3: Cross multiply
    17,632.52x = 26,448.06 × 7,244
  4. Step 4: Simplify right side
    17,632.52x = 191,589,746.64
  5. Step 5: Solve for x
    x = 191,589,746.64/17,632.52
  6. Step 6: Final answer
    x = 10,865.70

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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.