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Finding the Fourth Proportional to 12,106.34, 16,711.84 and 11,349.70

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Solution

The fourth proportional to 12,106.34, 16,711.84 and 11,349.70 is: 15,667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.34 : 16,711.84 = 11,349.70 : x
  2. Step 2: Convert to fraction form
    12,106.34/16,711.84 = 11,349.70/x
  3. Step 3: Cross multiply
    12,106.34x = 16,711.84 × 11,349.70
  4. Step 4: Simplify right side
    12,106.34x = 189,674,370.45
  5. Step 5: Solve for x
    x = 189,674,370.45/12,106.34
  6. Step 6: Final answer
    x = 15,667.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.