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Finding the Fourth Proportional to 24,292.64, 33,532.24 and 14,224.32

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Solution

The fourth proportional to 24,292.64, 33,532.24 and 14,224.32 is: 19,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,292.64 : 33,532.24 = 14,224.32 : x
  2. Step 2: Convert to fraction form
    24,292.64/33,532.24 = 14,224.32/x
  3. Step 3: Cross multiply
    24,292.64x = 33,532.24 × 14,224.32
  4. Step 4: Simplify right side
    24,292.64x = 476,973,240.96
  5. Step 5: Solve for x
    x = 476,973,240.96/24,292.64
  6. Step 6: Final answer
    x = 19,634.47

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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.