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Finding the Fourth Proportional to 20,705.60, 31,090.80 and 11,957.60

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Solution

The fourth proportional to 20,705.60, 31,090.80 and 11,957.60 is: 17,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.60 : 31,090.80 = 11,957.60 : x
  2. Step 2: Convert to fraction form
    20,705.60/31,090.80 = 11,957.60/x
  3. Step 3: Cross multiply
    20,705.60x = 31,090.80 × 11,957.60
  4. Step 4: Simplify right side
    20,705.60x = 371,771,350.08
  5. Step 5: Solve for x
    x = 371,771,350.08/20,705.60
  6. Step 6: Final answer
    x = 17,955.11

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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.