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Finding the Fourth Proportional to 17,734.81, 24,474.11 and 9,776.86

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Solution

The fourth proportional to 17,734.81, 24,474.11 and 9,776.86 is: 13,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.81 : 24,474.11 = 9,776.86 : x
  2. Step 2: Convert to fraction form
    17,734.81/24,474.11 = 9,776.86/x
  3. Step 3: Cross multiply
    17,734.81x = 24,474.11 × 9,776.86
  4. Step 4: Simplify right side
    17,734.81x = 239,279,775.84
  5. Step 5: Solve for x
    x = 239,279,775.84/17,734.81
  6. Step 6: Final answer
    x = 13,492.10

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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.