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Finding the Fourth Proportional to 22,902.44, 31,605.14 and 12,831.30

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Solution

The fourth proportional to 22,902.44, 31,605.14 and 12,831.30 is: 17,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.44 : 31,605.14 = 12,831.30 : x
  2. Step 2: Convert to fraction form
    22,902.44/31,605.14 = 12,831.30/x
  3. Step 3: Cross multiply
    22,902.44x = 31,605.14 × 12,831.30
  4. Step 4: Simplify right side
    22,902.44x = 405,534,968.73
  5. Step 5: Solve for x
    x = 405,534,968.73/22,902.44
  6. Step 6: Final answer
    x = 17,707.07

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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.