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Finding the Fourth Proportional to 23,486.94, 32,412.78 and 12,876.58

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Solution

The fourth proportional to 23,486.94, 32,412.78 and 12,876.58 is: 17,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.94 : 32,412.78 = 12,876.58 : x
  2. Step 2: Convert to fraction form
    23,486.94/32,412.78 = 12,876.58/x
  3. Step 3: Cross multiply
    23,486.94x = 32,412.78 × 12,876.58
  4. Step 4: Simplify right side
    23,486.94x = 417,365,754.69
  5. Step 5: Solve for x
    x = 417,365,754.69/23,486.94
  6. Step 6: Final answer
    x = 17,770.12

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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.