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Finding the Fourth Proportional to 23,403.76, 32,286.28 and 13,462

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Solution

The fourth proportional to 23,403.76, 32,286.28 and 13,462 is: 18,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,403.76 : 32,286.28 = 13,462 : x
  2. Step 2: Convert to fraction form
    23,403.76/32,286.28 = 13,462/x
  3. Step 3: Cross multiply
    23,403.76x = 32,286.28 × 13,462
  4. Step 4: Simplify right side
    23,403.76x = 434,637,901.36
  5. Step 5: Solve for x
    x = 434,637,901.36/23,403.76
  6. Step 6: Final answer
    x = 18,571.29

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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.