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Finding the Fourth Proportional to 24,285, 33,510.78 and 14,212.92

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Solution

The fourth proportional to 24,285, 33,510.78 and 14,212.92 is: 19,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285 : 33,510.78 = 14,212.92 : x
  2. Step 2: Convert to fraction form
    24,285/33,510.78 = 14,212.92/x
  3. Step 3: Cross multiply
    24,285x = 33,510.78 × 14,212.92
  4. Step 4: Simplify right side
    24,285x = 476,286,035.28
  5. Step 5: Solve for x
    x = 476,286,035.28/24,285
  6. Step 6: Final answer
    x = 19,612.35

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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.