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Finding the Fourth Proportional to 14,194.11, 19,577.39 and 10,416

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Solution

The fourth proportional to 14,194.11, 19,577.39 and 10,416 is: 14,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.11 : 19,577.39 = 10,416 : x
  2. Step 2: Convert to fraction form
    14,194.11/19,577.39 = 10,416/x
  3. Step 3: Cross multiply
    14,194.11x = 19,577.39 × 10,416
  4. Step 4: Simplify right side
    14,194.11x = 203,918,042.16
  5. Step 5: Solve for x
    x = 203,918,042.16/14,194.11
  6. Step 6: Final answer
    x = 14,366.38

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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.