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Finding the Fourth Proportional to 22,435.84, 30,961.38 and 13,009.78

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Solution

The fourth proportional to 22,435.84, 30,961.38 and 13,009.78 is: 17,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,435.84 : 30,961.38 = 13,009.78 : x
  2. Step 2: Convert to fraction form
    22,435.84/30,961.38 = 13,009.78/x
  3. Step 3: Cross multiply
    22,435.84x = 30,961.38 × 13,009.78
  4. Step 4: Simplify right side
    22,435.84x = 402,800,742.30
  5. Step 5: Solve for x
    x = 402,800,742.30/22,435.84
  6. Step 6: Final answer
    x = 17,953.45

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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.