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Finding the Fourth Proportional to 16,847.84, 23,242.50 and 9,770.16

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Solution

The fourth proportional to 16,847.84, 23,242.50 and 9,770.16 is: 13,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,847.84 : 23,242.50 = 9,770.16 : x
  2. Step 2: Convert to fraction form
    16,847.84/23,242.50 = 9,770.16/x
  3. Step 3: Cross multiply
    16,847.84x = 23,242.50 × 9,770.16
  4. Step 4: Simplify right side
    16,847.84x = 227,082,778.74
  5. Step 5: Solve for x
    x = 227,082,778.74/16,847.84
  6. Step 6: Final answer
    x = 13,478.45

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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.