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Finding the Fourth Proportional to 14,374.64, 19,836.80 and 8,087

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Solution

The fourth proportional to 14,374.64, 19,836.80 and 8,087 is: 11,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.64 : 19,836.80 = 8,087 : x
  2. Step 2: Convert to fraction form
    14,374.64/19,836.80 = 8,087/x
  3. Step 3: Cross multiply
    14,374.64x = 19,836.80 × 8,087
  4. Step 4: Simplify right side
    14,374.64x = 160,420,201.60
  5. Step 5: Solve for x
    x = 160,420,201.60/14,374.64
  6. Step 6: Final answer
    x = 11,159.95

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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.