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Finding the Fourth Proportional to 14,374.40, 19,836.64 and 8,086.77

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Solution

The fourth proportional to 14,374.40, 19,836.64 and 8,086.77 is: 11,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.40 : 19,836.64 = 8,086.77 : x
  2. Step 2: Convert to fraction form
    14,374.40/19,836.64 = 8,086.77/x
  3. Step 3: Cross multiply
    14,374.40x = 19,836.64 × 8,086.77
  4. Step 4: Simplify right side
    14,374.40x = 160,414,325.04
  5. Step 5: Solve for x
    x = 160,414,325.04/14,374.40
  6. Step 6: Final answer
    x = 11,159.73

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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.