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Finding the Fourth Proportional to 13,977.42, 19,282.42 and 12,385.68

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Solution

The fourth proportional to 13,977.42, 19,282.42 and 12,385.68 is: 17,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.42 : 19,282.42 = 12,385.68 : x
  2. Step 2: Convert to fraction form
    13,977.42/19,282.42 = 12,385.68/x
  3. Step 3: Cross multiply
    13,977.42x = 19,282.42 × 12,385.68
  4. Step 4: Simplify right side
    13,977.42x = 238,825,883.75
  5. Step 5: Solve for x
    x = 238,825,883.75/13,977.42
  6. Step 6: Final answer
    x = 17,086.55

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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.