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Finding the Fourth Proportional to 23,471.94, 32,392.17 and 13,402.02

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Solution

The fourth proportional to 23,471.94, 32,392.17 and 13,402.02 is: 18,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.94 : 32,392.17 = 13,402.02 : x
  2. Step 2: Convert to fraction form
    23,471.94/32,392.17 = 13,402.02/x
  3. Step 3: Cross multiply
    23,471.94x = 32,392.17 × 13,402.02
  4. Step 4: Simplify right side
    23,471.94x = 434,120,510.18
  5. Step 5: Solve for x
    x = 434,120,510.18/23,471.94
  6. Step 6: Final answer
    x = 18,495.30

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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.