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Finding the Fourth Proportional to 23,831.46, 32,887.46 and 13,221.10

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Solution

The fourth proportional to 23,831.46, 32,887.46 and 13,221.10 is: 18,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831.46 : 32,887.46 = 13,221.10 : x
  2. Step 2: Convert to fraction form
    23,831.46/32,887.46 = 13,221.10/x
  3. Step 3: Cross multiply
    23,831.46x = 32,887.46 × 13,221.10
  4. Step 4: Simplify right side
    23,831.46x = 434,808,166.86
  5. Step 5: Solve for x
    x = 434,808,166.86/23,831.46
  6. Step 6: Final answer
    x = 18,245.13

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