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Finding the Fourth Proportional to 12,314.12, 16,955.70 and 11,323.40

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Solution

The fourth proportional to 12,314.12, 16,955.70 and 11,323.40 is: 15,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.12 : 16,955.70 = 11,323.40 : x
  2. Step 2: Convert to fraction form
    12,314.12/16,955.70 = 11,323.40/x
  3. Step 3: Cross multiply
    12,314.12x = 16,955.70 × 11,323.40
  4. Step 4: Simplify right side
    12,314.12x = 191,996,173.38
  5. Step 5: Solve for x
    x = 191,996,173.38/12,314.12
  6. Step 6: Final answer
    x = 15,591.55

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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.