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Finding the Fourth Proportional to 17,632.12, 26,428.02 and 7,231

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Solution

The fourth proportional to 17,632.12, 26,428.02 and 7,231 is: 10,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.12 : 26,428.02 = 7,231 : x
  2. Step 2: Convert to fraction form
    17,632.12/26,428.02 = 7,231/x
  3. Step 3: Cross multiply
    17,632.12x = 26,428.02 × 7,231
  4. Step 4: Simplify right side
    17,632.12x = 191,101,012.62
  5. Step 5: Solve for x
    x = 191,101,012.62/17,632.12
  6. Step 6: Final answer
    x = 10,838.23

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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.