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Finding the Fourth Proportional to 20,783.60, 31,153.80 and 11,409.20

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Solution

The fourth proportional to 20,783.60, 31,153.80 and 11,409.20 is: 17,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.60 : 31,153.80 = 11,409.20 : x
  2. Step 2: Convert to fraction form
    20,783.60/31,153.80 = 11,409.20/x
  3. Step 3: Cross multiply
    20,783.60x = 31,153.80 × 11,409.20
  4. Step 4: Simplify right side
    20,783.60x = 355,439,934.96
  5. Step 5: Solve for x
    x = 355,439,934.96/20,783.60
  6. Step 6: Final answer
    x = 17,101.94

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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.