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Finding the Fourth Proportional to 15,857.41, 23,779.23 and 8,460.22

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Solution

The fourth proportional to 15,857.41, 23,779.23 and 8,460.22 is: 12,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.41 : 23,779.23 = 8,460.22 : x
  2. Step 2: Convert to fraction form
    15,857.41/23,779.23 = 8,460.22/x
  3. Step 3: Cross multiply
    15,857.41x = 23,779.23 × 8,460.22
  4. Step 4: Simplify right side
    15,857.41x = 201,177,517.23
  5. Step 5: Solve for x
    x = 201,177,517.23/15,857.41
  6. Step 6: Final answer
    x = 12,686.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.