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Finding the Fourth Proportional to 13,178.94, 18,188.55 and 7,873.74

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Solution

The fourth proportional to 13,178.94, 18,188.55 and 7,873.74 is: 10,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.94 : 18,188.55 = 7,873.74 : x
  2. Step 2: Convert to fraction form
    13,178.94/18,188.55 = 7,873.74/x
  3. Step 3: Cross multiply
    13,178.94x = 18,188.55 × 7,873.74
  4. Step 4: Simplify right side
    13,178.94x = 143,211,913.68
  5. Step 5: Solve for x
    x = 143,211,913.68/13,178.94
  6. Step 6: Final answer
    x = 10,866.72

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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.