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Finding the Fourth Proportional to 13,465.40, 20,178.90 and 9,927.80

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Solution

The fourth proportional to 13,465.40, 20,178.90 and 9,927.80 is: 14,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.40 : 20,178.90 = 9,927.80 : x
  2. Step 2: Convert to fraction form
    13,465.40/20,178.90 = 9,927.80/x
  3. Step 3: Cross multiply
    13,465.40x = 20,178.90 × 9,927.80
  4. Step 4: Simplify right side
    13,465.40x = 200,332,083.42
  5. Step 5: Solve for x
    x = 200,332,083.42/13,465.40
  6. Step 6: Final answer
    x = 14,877.54

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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.