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Finding the Fourth Proportional to 23,665.62, 32,657.81 and 13,457.76

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Solution

The fourth proportional to 23,665.62, 32,657.81 and 13,457.76 is: 18,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,665.62 : 32,657.81 = 13,457.76 : x
  2. Step 2: Convert to fraction form
    23,665.62/32,657.81 = 13,457.76/x
  3. Step 3: Cross multiply
    23,665.62x = 32,657.81 × 13,457.76
  4. Step 4: Simplify right side
    23,665.62x = 439,500,969.11
  5. Step 5: Solve for x
    x = 439,500,969.11/23,665.62
  6. Step 6: Final answer
    x = 18,571.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.