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Finding the Fourth Proportional to 12,178.60, 18,246.30 and 9,975.40

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Solution

The fourth proportional to 12,178.60, 18,246.30 and 9,975.40 is: 14,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.60 : 18,246.30 = 9,975.40 : x
  2. Step 2: Convert to fraction form
    12,178.60/18,246.30 = 9,975.40/x
  3. Step 3: Cross multiply
    12,178.60x = 18,246.30 × 9,975.40
  4. Step 4: Simplify right side
    12,178.60x = 182,014,141.02
  5. Step 5: Solve for x
    x = 182,014,141.02/12,178.60
  6. Step 6: Final answer
    x = 14,945.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.