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Finding the Fourth Proportional to 12,406.86, 18,588.62 and 10,340.14

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Solution

The fourth proportional to 12,406.86, 18,588.62 and 10,340.14 is: 15,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.86 : 18,588.62 = 10,340.14 : x
  2. Step 2: Convert to fraction form
    12,406.86/18,588.62 = 10,340.14/x
  3. Step 3: Cross multiply
    12,406.86x = 18,588.62 × 10,340.14
  4. Step 4: Simplify right side
    12,406.86x = 192,208,933.21
  5. Step 5: Solve for x
    x = 192,208,933.21/12,406.86
  6. Step 6: Final answer
    x = 15,492.15

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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.