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Finding the Fourth Proportional to 12,110.34, 16,706.16 and 10,514.82

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Solution

The fourth proportional to 12,110.34, 16,706.16 and 10,514.82 is: 14,505.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.34 : 16,706.16 = 10,514.82 : x
  2. Step 2: Convert to fraction form
    12,110.34/16,706.16 = 10,514.82/x
  3. Step 3: Cross multiply
    12,110.34x = 16,706.16 × 10,514.82
  4. Step 4: Simplify right side
    12,110.34x = 175,662,265.29
  5. Step 5: Solve for x
    x = 175,662,265.29/12,110.34
  6. Step 6: Final answer
    x = 14,505.15

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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.