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Finding the Fourth Proportional to 22,657, 31,268.58 and 12,722.92

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Solution

The fourth proportional to 22,657, 31,268.58 and 12,722.92 is: 17,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657 : 31,268.58 = 12,722.92 : x
  2. Step 2: Convert to fraction form
    22,657/31,268.58 = 12,722.92/x
  3. Step 3: Cross multiply
    22,657x = 31,268.58 × 12,722.92
  4. Step 4: Simplify right side
    22,657x = 397,827,641.85
  5. Step 5: Solve for x
    x = 397,827,641.85/22,657
  6. Step 6: Final answer
    x = 17,558.71

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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.