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Finding the Fourth Proportional to 15,894.25, 21,933.18 and 9,179.46

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Solution

The fourth proportional to 15,894.25, 21,933.18 and 9,179.46 is: 12,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.25 : 21,933.18 = 9,179.46 : x
  2. Step 2: Convert to fraction form
    15,894.25/21,933.18 = 9,179.46/x
  3. Step 3: Cross multiply
    15,894.25x = 21,933.18 × 9,179.46
  4. Step 4: Simplify right side
    15,894.25x = 201,334,748.48
  5. Step 5: Solve for x
    x = 201,334,748.48/15,894.25
  6. Step 6: Final answer
    x = 12,667.15

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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.