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Finding the Fourth Proportional to 17,846.12, 24,627.62 and 9,779.96

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Solution

The fourth proportional to 17,846.12, 24,627.62 and 9,779.96 is: 13,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.12 : 24,627.62 = 9,779.96 : x
  2. Step 2: Convert to fraction form
    17,846.12/24,627.62 = 9,779.96/x
  3. Step 3: Cross multiply
    17,846.12x = 24,627.62 × 9,779.96
  4. Step 4: Simplify right side
    17,846.12x = 240,857,151.16
  5. Step 5: Solve for x
    x = 240,857,151.16/17,846.12
  6. Step 6: Final answer
    x = 13,496.34

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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.