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Finding the Fourth Proportional to 15,774.39, 21,767.96 and 8,604.14

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Solution

The fourth proportional to 15,774.39, 21,767.96 and 8,604.14 is: 11,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.39 : 21,767.96 = 8,604.14 : x
  2. Step 2: Convert to fraction form
    15,774.39/21,767.96 = 8,604.14/x
  3. Step 3: Cross multiply
    15,774.39x = 21,767.96 × 8,604.14
  4. Step 4: Simplify right side
    15,774.39x = 187,294,423.49
  5. Step 5: Solve for x
    x = 187,294,423.49/15,774.39
  6. Step 6: Final answer
    x = 11,873.32

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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.