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Finding the Fourth Proportional to 20,173.42, 27,831.66 and 12,513.14

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Solution

The fourth proportional to 20,173.42, 27,831.66 and 12,513.14 is: 17,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.42 : 27,831.66 = 12,513.14 : x
  2. Step 2: Convert to fraction form
    20,173.42/27,831.66 = 12,513.14/x
  3. Step 3: Cross multiply
    20,173.42x = 27,831.66 × 12,513.14
  4. Step 4: Simplify right side
    20,173.42x = 348,261,458.01
  5. Step 5: Solve for x
    x = 348,261,458.01/20,173.42
  6. Step 6: Final answer
    x = 17,263.38

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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.