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Finding the Fourth Proportional to 17,831.69, 26,732.95 and 6,732.07

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Solution

The fourth proportional to 17,831.69, 26,732.95 and 6,732.07 is: 10,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,831.69 : 26,732.95 = 6,732.07 : x
  2. Step 2: Convert to fraction form
    17,831.69/26,732.95 = 6,732.07/x
  3. Step 3: Cross multiply
    17,831.69x = 26,732.95 × 6,732.07
  4. Step 4: Simplify right side
    17,831.69x = 179,968,090.71
  5. Step 5: Solve for x
    x = 179,968,090.71/17,831.69
  6. Step 6: Final answer
    x = 10,092.60

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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.