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Finding the Fourth Proportional to 22,087.14, 30,476.82 and 12,653.88

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Solution

The fourth proportional to 22,087.14, 30,476.82 and 12,653.88 is: 17,460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,087.14 : 30,476.82 = 12,653.88 : x
  2. Step 2: Convert to fraction form
    22,087.14/30,476.82 = 12,653.88/x
  3. Step 3: Cross multiply
    22,087.14x = 30,476.82 × 12,653.88
  4. Step 4: Simplify right side
    22,087.14x = 385,650,023.06
  5. Step 5: Solve for x
    x = 385,650,023.06/22,087.14
  6. Step 6: Final answer
    x = 17,460.39

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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.