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Finding the Fourth Proportional to 23,471.72, 32,385.70 and 13,396.94

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Solution

The fourth proportional to 23,471.72, 32,385.70 and 13,396.94 is: 18,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.72 : 32,385.70 = 13,396.94 : x
  2. Step 2: Convert to fraction form
    23,471.72/32,385.70 = 13,396.94/x
  3. Step 3: Cross multiply
    23,471.72x = 32,385.70 × 13,396.94
  4. Step 4: Simplify right side
    23,471.72x = 433,869,279.76
  5. Step 5: Solve for x
    x = 433,869,279.76/23,471.72
  6. Step 6: Final answer
    x = 18,484.77

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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.