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Finding the Fourth Proportional to 17,596.76, 24,283.32 and 9,638.96

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Solution

The fourth proportional to 17,596.76, 24,283.32 and 9,638.96 is: 13,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,596.76 : 24,283.32 = 9,638.96 : x
  2. Step 2: Convert to fraction form
    17,596.76/24,283.32 = 9,638.96/x
  3. Step 3: Cross multiply
    17,596.76x = 24,283.32 × 9,638.96
  4. Step 4: Simplify right side
    17,596.76x = 234,065,950.15
  5. Step 5: Solve for x
    x = 234,065,950.15/17,596.76
  6. Step 6: Final answer
    x = 13,301.65

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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.