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Finding the Fourth Proportional to 22,957.67, 31,682.06 and 12,886.84

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Solution

The fourth proportional to 22,957.67, 31,682.06 and 12,886.84 is: 17,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.67 : 31,682.06 = 12,886.84 : x
  2. Step 2: Convert to fraction form
    22,957.67/31,682.06 = 12,886.84/x
  3. Step 3: Cross multiply
    22,957.67x = 31,682.06 × 12,886.84
  4. Step 4: Simplify right side
    22,957.67x = 408,281,745.15
  5. Step 5: Solve for x
    x = 408,281,745.15/22,957.67
  6. Step 6: Final answer
    x = 17,784.11

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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.