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Finding the Fourth Proportional to 12,538.40, 18,807.60 and 10,934.60

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Solution

The fourth proportional to 12,538.40, 18,807.60 and 10,934.60 is: 16,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.40 : 18,807.60 = 10,934.60 : x
  2. Step 2: Convert to fraction form
    12,538.40/18,807.60 = 10,934.60/x
  3. Step 3: Cross multiply
    12,538.40x = 18,807.60 × 10,934.60
  4. Step 4: Simplify right side
    12,538.40x = 205,653,582.96
  5. Step 5: Solve for x
    x = 205,653,582.96/12,538.40
  6. Step 6: Final answer
    x = 16,401.90

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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.