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Finding the Fourth Proportional to 23,886, 32,962.73 and 13,278.15

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Solution

The fourth proportional to 23,886, 32,962.73 and 13,278.15 is: 18,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886 : 32,962.73 = 13,278.15 : x
  2. Step 2: Convert to fraction form
    23,886/32,962.73 = 13,278.15/x
  3. Step 3: Cross multiply
    23,886x = 32,962.73 × 13,278.15
  4. Step 4: Simplify right side
    23,886x = 437,684,006.96
  5. Step 5: Solve for x
    x = 437,684,006.96/23,886
  6. Step 6: Final answer
    x = 18,323.87

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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.