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Finding the Fourth Proportional to 22,434.63, 30,958.38 and 13,476.84

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Solution

The fourth proportional to 22,434.63, 30,958.38 and 13,476.84 is: 18,597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,434.63 : 30,958.38 = 13,476.84 : x
  2. Step 2: Convert to fraction form
    22,434.63/30,958.38 = 13,476.84/x
  3. Step 3: Cross multiply
    22,434.63x = 30,958.38 × 13,476.84
  4. Step 4: Simplify right side
    22,434.63x = 417,221,133.92
  5. Step 5: Solve for x
    x = 417,221,133.92/22,434.63
  6. Step 6: Final answer
    x = 18,597.19

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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.