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Finding the Fourth Proportional to 22,628.90, 33,953.07 and 16,097.06

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Solution

The fourth proportional to 22,628.90, 33,953.07 and 16,097.06 is: 24,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,628.90 : 33,953.07 = 16,097.06 : x
  2. Step 2: Convert to fraction form
    22,628.90/33,953.07 = 16,097.06/x
  3. Step 3: Cross multiply
    22,628.90x = 33,953.07 × 16,097.06
  4. Step 4: Simplify right side
    22,628.90x = 546,544,604.97
  5. Step 5: Solve for x
    x = 546,544,604.97/22,628.90
  6. Step 6: Final answer
    x = 24,152.50

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Why These Related Problems?

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