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Finding the Fourth Proportional to 22,989.01, 31,724.54 and 12,917.27

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Solution

The fourth proportional to 22,989.01, 31,724.54 and 12,917.27 is: 17,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,989.01 : 31,724.54 = 12,917.27 : x
  2. Step 2: Convert to fraction form
    22,989.01/31,724.54 = 12,917.27/x
  3. Step 3: Cross multiply
    22,989.01x = 31,724.54 × 12,917.27
  4. Step 4: Simplify right side
    22,989.01x = 409,794,225.60
  5. Step 5: Solve for x
    x = 409,794,225.60/22,989.01
  6. Step 6: Final answer
    x = 17,825.66

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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.