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Finding the Fourth Proportional to 20,809.60, 31,214.40 and 10,417.60

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Solution

The fourth proportional to 20,809.60, 31,214.40 and 10,417.60 is: 15,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.60 : 31,214.40 = 10,417.60 : x
  2. Step 2: Convert to fraction form
    20,809.60/31,214.40 = 10,417.60/x
  3. Step 3: Cross multiply
    20,809.60x = 31,214.40 × 10,417.60
  4. Step 4: Simplify right side
    20,809.60x = 325,179,133.44
  5. Step 5: Solve for x
    x = 325,179,133.44/20,809.60
  6. Step 6: Final answer
    x = 15,626.40

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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.