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Finding the Fourth Proportional to 23,415.87, 32,314.47 and 12,806.31

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Solution

The fourth proportional to 23,415.87, 32,314.47 and 12,806.31 is: 17,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.87 : 32,314.47 = 12,806.31 : x
  2. Step 2: Convert to fraction form
    23,415.87/32,314.47 = 12,806.31/x
  3. Step 3: Cross multiply
    23,415.87x = 32,314.47 × 12,806.31
  4. Step 4: Simplify right side
    23,415.87x = 413,829,120.31
  5. Step 5: Solve for x
    x = 413,829,120.31/23,415.87
  6. Step 6: Final answer
    x = 17,673.02

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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.