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Finding the Fourth Proportional to 22,706.52, 31,335.74 and 14,205.92

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Solution

The fourth proportional to 22,706.52, 31,335.74 and 14,205.92 is: 19,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.52 : 31,335.74 = 14,205.92 : x
  2. Step 2: Convert to fraction form
    22,706.52/31,335.74 = 14,205.92/x
  3. Step 3: Cross multiply
    22,706.52x = 31,335.74 × 14,205.92
  4. Step 4: Simplify right side
    22,706.52x = 445,153,015.58
  5. Step 5: Solve for x
    x = 445,153,015.58/22,706.52
  6. Step 6: Final answer
    x = 19,604.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.