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Finding the Fourth Proportional to 23,487, 32,414.31 and 13,416.94

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Solution

The fourth proportional to 23,487, 32,414.31 and 13,416.94 is: 18,516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487 : 32,414.31 = 13,416.94 : x
  2. Step 2: Convert to fraction form
    23,487/32,414.31 = 13,416.94/x
  3. Step 3: Cross multiply
    23,487x = 32,414.31 × 13,416.94
  4. Step 4: Simplify right side
    23,487x = 434,900,852.41
  5. Step 5: Solve for x
    x = 434,900,852.41/23,487
  6. Step 6: Final answer
    x = 18,516.66

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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.