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Finding the Fourth Proportional to 12,438.54, 18,657.81 and 10,242.65

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Solution

The fourth proportional to 12,438.54, 18,657.81 and 10,242.65 is: 15,363.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.54 : 18,657.81 = 10,242.65 : x
  2. Step 2: Convert to fraction form
    12,438.54/18,657.81 = 10,242.65/x
  3. Step 3: Cross multiply
    12,438.54x = 18,657.81 × 10,242.65
  4. Step 4: Simplify right side
    12,438.54x = 191,105,464.24
  5. Step 5: Solve for x
    x = 191,105,464.24/12,438.54
  6. Step 6: Final answer
    x = 15,363.98

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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.