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Finding the Fourth Proportional to 20,457.36, 30,684.60 and 11,664.72

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Solution

The fourth proportional to 20,457.36, 30,684.60 and 11,664.72 is: 17,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.36 : 30,684.60 = 11,664.72 : x
  2. Step 2: Convert to fraction form
    20,457.36/30,684.60 = 11,664.72/x
  3. Step 3: Cross multiply
    20,457.36x = 30,684.60 × 11,664.72
  4. Step 4: Simplify right side
    20,457.36x = 357,927,267.31
  5. Step 5: Solve for x
    x = 357,927,267.31/20,457.36
  6. Step 6: Final answer
    x = 17,496.26

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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.