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Finding the Fourth Proportional to 13,135.76, 18,124.86 and 7,831.07

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Solution

The fourth proportional to 13,135.76, 18,124.86 and 7,831.07 is: 10,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.76 : 18,124.86 = 7,831.07 : x
  2. Step 2: Convert to fraction form
    13,135.76/18,124.86 = 7,831.07/x
  3. Step 3: Cross multiply
    13,135.76x = 18,124.86 × 7,831.07
  4. Step 4: Simplify right side
    13,135.76x = 141,936,956.78
  5. Step 5: Solve for x
    x = 141,936,956.78/13,135.76
  6. Step 6: Final answer
    x = 10,805.39

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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.