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Finding the Fourth Proportional to 23,411.32, 32,308.82 and 12,800.84

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Solution

The fourth proportional to 23,411.32, 32,308.82 and 12,800.84 is: 17,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.32 : 32,308.82 = 12,800.84 : x
  2. Step 2: Convert to fraction form
    23,411.32/32,308.82 = 12,800.84/x
  3. Step 3: Cross multiply
    23,411.32x = 32,308.82 × 12,800.84
  4. Step 4: Simplify right side
    23,411.32x = 413,580,035.41
  5. Step 5: Solve for x
    x = 413,580,035.41/23,411.32
  6. Step 6: Final answer
    x = 17,665.81

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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.