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Finding the Fourth Proportional to 17,734.57, 24,473.87 and 9,777.08

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Solution

The fourth proportional to 17,734.57, 24,473.87 and 9,777.08 is: 13,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.57 : 24,473.87 = 9,777.08 : x
  2. Step 2: Convert to fraction form
    17,734.57/24,473.87 = 9,777.08/x
  3. Step 3: Cross multiply
    17,734.57x = 24,473.87 × 9,777.08
  4. Step 4: Simplify right side
    17,734.57x = 239,282,813.64
  5. Step 5: Solve for x
    x = 239,282,813.64/17,734.57
  6. Step 6: Final answer
    x = 13,492.45

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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.