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Finding the Fourth Proportional to 12,478.40, 18,698.40 and 10,827.20

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Solution

The fourth proportional to 12,478.40, 18,698.40 and 10,827.20 is: 16,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.40 : 18,698.40 = 10,827.20 : x
  2. Step 2: Convert to fraction form
    12,478.40/18,698.40 = 10,827.20/x
  3. Step 3: Cross multiply
    12,478.40x = 18,698.40 × 10,827.20
  4. Step 4: Simplify right side
    12,478.40x = 202,451,316.48
  5. Step 5: Solve for x
    x = 202,451,316.48/12,478.40
  6. Step 6: Final answer
    x = 16,224.14

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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.