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Finding the Fourth Proportional to 23,471.10, 32,384.84 and 13,396.32

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Solution

The fourth proportional to 23,471.10, 32,384.84 and 13,396.32 is: 18,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.10 : 32,384.84 = 13,396.32 : x
  2. Step 2: Convert to fraction form
    23,471.10/32,384.84 = 13,396.32/x
  3. Step 3: Cross multiply
    23,471.10x = 32,384.84 × 13,396.32
  4. Step 4: Simplify right side
    23,471.10x = 433,837,517.86
  5. Step 5: Solve for x
    x = 433,837,517.86/23,471.10
  6. Step 6: Final answer
    x = 18,483.91

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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.