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Finding the Fourth Proportional to 23,536.50, 32,478.27 and 13,463.28

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Solution

The fourth proportional to 23,536.50, 32,478.27 and 13,463.28 is: 18,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,536.50 : 32,478.27 = 13,463.28 : x
  2. Step 2: Convert to fraction form
    23,536.50/32,478.27 = 13,463.28/x
  3. Step 3: Cross multiply
    23,536.50x = 32,478.27 × 13,463.28
  4. Step 4: Simplify right side
    23,536.50x = 437,264,042.93
  5. Step 5: Solve for x
    x = 437,264,042.93/23,536.50
  6. Step 6: Final answer
    x = 18,578.13

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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.