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Finding the Fourth Proportional to 24,164.67, 33,345.54 and 13,410.10

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Solution

The fourth proportional to 24,164.67, 33,345.54 and 13,410.10 is: 18,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,164.67 : 33,345.54 = 13,410.10 : x
  2. Step 2: Convert to fraction form
    24,164.67/33,345.54 = 13,410.10/x
  3. Step 3: Cross multiply
    24,164.67x = 33,345.54 × 13,410.10
  4. Step 4: Simplify right side
    24,164.67x = 447,166,880.07
  5. Step 5: Solve for x
    x = 447,166,880.07/24,164.67
  6. Step 6: Final answer
    x = 18,504.99

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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.