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Finding the Fourth Proportional to 24,074.77, 33,223.29 and 13,464.40

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Solution

The fourth proportional to 24,074.77, 33,223.29 and 13,464.40 is: 18,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.77 : 33,223.29 = 13,464.40 : x
  2. Step 2: Convert to fraction form
    24,074.77/33,223.29 = 13,464.40/x
  3. Step 3: Cross multiply
    24,074.77x = 33,223.29 × 13,464.40
  4. Step 4: Simplify right side
    24,074.77x = 447,331,665.88
  5. Step 5: Solve for x
    x = 447,331,665.88/24,074.77
  6. Step 6: Final answer
    x = 18,580.93

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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.