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Finding the Fourth Proportional to 14,186.52, 19,567.44 and 12,294.78

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Solution

The fourth proportional to 14,186.52, 19,567.44 and 12,294.78 is: 16,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.52 : 19,567.44 = 12,294.78 : x
  2. Step 2: Convert to fraction form
    14,186.52/19,567.44 = 12,294.78/x
  3. Step 3: Cross multiply
    14,186.52x = 19,567.44 × 12,294.78
  4. Step 4: Simplify right side
    14,186.52x = 240,577,369.96
  5. Step 5: Solve for x
    x = 240,577,369.96/14,186.52
  6. Step 6: Final answer
    x = 16,958.17

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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.