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Finding the Fourth Proportional to 13,030.38, 17,996.77 and 8,831.34

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Solution

The fourth proportional to 13,030.38, 17,996.77 and 8,831.34 is: 12,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.38 : 17,996.77 = 8,831.34 : x
  2. Step 2: Convert to fraction form
    13,030.38/17,996.77 = 8,831.34/x
  3. Step 3: Cross multiply
    13,030.38x = 17,996.77 × 8,831.34
  4. Step 4: Simplify right side
    13,030.38x = 158,935,594.77
  5. Step 5: Solve for x
    x = 158,935,594.77/13,030.38
  6. Step 6: Final answer
    x = 12,197.31

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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.