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Finding the Fourth Proportional to 26,009.38, 35,897.81 and 14,831.38

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Solution

The fourth proportional to 26,009.38, 35,897.81 and 14,831.38 is: 20,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,009.38 : 35,897.81 = 14,831.38 : x
  2. Step 2: Convert to fraction form
    26,009.38/35,897.81 = 14,831.38/x
  3. Step 3: Cross multiply
    26,009.38x = 35,897.81 × 14,831.38
  4. Step 4: Simplify right side
    26,009.38x = 532,414,061.28
  5. Step 5: Solve for x
    x = 532,414,061.28/26,009.38
  6. Step 6: Final answer
    x = 20,470.08

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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.