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Finding the Fourth Proportional to 13,661.60, 20,492.40 and 8,412.80

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Solution

The fourth proportional to 13,661.60, 20,492.40 and 8,412.80 is: 12,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.60 : 20,492.40 = 8,412.80 : x
  2. Step 2: Convert to fraction form
    13,661.60/20,492.40 = 8,412.80/x
  3. Step 3: Cross multiply
    13,661.60x = 20,492.40 × 8,412.80
  4. Step 4: Simplify right side
    13,661.60x = 172,398,462.72
  5. Step 5: Solve for x
    x = 172,398,462.72/13,661.60
  6. Step 6: Final answer
    x = 12,619.20

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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.