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Finding the Fourth Proportional to 17,232.63, 23,779.35 and 9,677.24

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Solution

The fourth proportional to 17,232.63, 23,779.35 and 9,677.24 is: 13,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,232.63 : 23,779.35 = 9,677.24 : x
  2. Step 2: Convert to fraction form
    17,232.63/23,779.35 = 9,677.24/x
  3. Step 3: Cross multiply
    17,232.63x = 23,779.35 × 9,677.24
  4. Step 4: Simplify right side
    17,232.63x = 230,118,536.44
  5. Step 5: Solve for x
    x = 230,118,536.44/17,232.63
  6. Step 6: Final answer
    x = 13,353.65

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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.