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Finding the Fourth Proportional to 23,574.68, 32,539.23 and 14,617.10

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Solution

The fourth proportional to 23,574.68, 32,539.23 and 14,617.10 is: 20,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.68 : 32,539.23 = 14,617.10 : x
  2. Step 2: Convert to fraction form
    23,574.68/32,539.23 = 14,617.10/x
  3. Step 3: Cross multiply
    23,574.68x = 32,539.23 × 14,617.10
  4. Step 4: Simplify right side
    23,574.68x = 475,628,943.05
  5. Step 5: Solve for x
    x = 475,628,943.05/23,574.68
  6. Step 6: Final answer
    x = 20,175.41

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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.