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Finding the Fourth Proportional to 24,213.84, 36,272.16 and 17,653.92

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Solution

The fourth proportional to 24,213.84, 36,272.16 and 17,653.92 is: 26,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213.84 : 36,272.16 = 17,653.92 : x
  2. Step 2: Convert to fraction form
    24,213.84/36,272.16 = 17,653.92/x
  3. Step 3: Cross multiply
    24,213.84x = 36,272.16 × 17,653.92
  4. Step 4: Simplify right side
    24,213.84x = 640,345,810.87
  5. Step 5: Solve for x
    x = 640,345,810.87/24,213.84
  6. Step 6: Final answer
    x = 26,445.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.