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Finding the Fourth Proportional to 23,444.37, 32,352 and 12,831.96

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Solution

The fourth proportional to 23,444.37, 32,352 and 12,831.96 is: 17,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,444.37 : 32,352 = 12,831.96 : x
  2. Step 2: Convert to fraction form
    23,444.37/32,352 = 12,831.96/x
  3. Step 3: Cross multiply
    23,444.37x = 32,352 × 12,831.96
  4. Step 4: Simplify right side
    23,444.37x = 415,139,569.92
  5. Step 5: Solve for x
    x = 415,139,569.92/23,444.37
  6. Step 6: Final answer
    x = 17,707.43

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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.