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Finding the Fourth Proportional to 17,734.95, 24,474.15 and 9,777.11

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Solution

The fourth proportional to 17,734.95, 24,474.15 and 9,777.11 is: 13,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.95 : 24,474.15 = 9,777.11 : x
  2. Step 2: Convert to fraction form
    17,734.95/24,474.15 = 9,777.11/x
  3. Step 3: Cross multiply
    17,734.95x = 24,474.15 × 9,777.11
  4. Step 4: Simplify right side
    17,734.95x = 239,286,334.34
  5. Step 5: Solve for x
    x = 239,286,334.34/17,734.95
  6. Step 6: Final answer
    x = 13,492.36

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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.