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Finding the Fourth Proportional to 23,471.17, 32,384.96 and 13,396.39

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Solution

The fourth proportional to 23,471.17, 32,384.96 and 13,396.39 is: 18,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.17 : 32,384.96 = 13,396.39 : x
  2. Step 2: Convert to fraction form
    23,471.17/32,384.96 = 13,396.39/x
  3. Step 3: Cross multiply
    23,471.17x = 32,384.96 × 13,396.39
  4. Step 4: Simplify right side
    23,471.17x = 433,841,325.39
  5. Step 5: Solve for x
    x = 433,841,325.39/23,471.17
  6. Step 6: Final answer
    x = 18,484.01

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Why These Related Problems?

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