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Finding the Fourth Proportional to 15,909.84, 21,955.50 and 8,836.38

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Solution

The fourth proportional to 15,909.84, 21,955.50 and 8,836.38 is: 12,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.84 : 21,955.50 = 8,836.38 : x
  2. Step 2: Convert to fraction form
    15,909.84/21,955.50 = 8,836.38/x
  3. Step 3: Cross multiply
    15,909.84x = 21,955.50 × 8,836.38
  4. Step 4: Simplify right side
    15,909.84x = 194,007,141.09
  5. Step 5: Solve for x
    x = 194,007,141.09/15,909.84
  6. Step 6: Final answer
    x = 12,194.16

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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.