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Finding the Fourth Proportional to 12,337.84, 17,028.12 and 9,705.20

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Solution

The fourth proportional to 12,337.84, 17,028.12 and 9,705.20 is: 13,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.84 : 17,028.12 = 9,705.20 : x
  2. Step 2: Convert to fraction form
    12,337.84/17,028.12 = 9,705.20/x
  3. Step 3: Cross multiply
    12,337.84x = 17,028.12 × 9,705.20
  4. Step 4: Simplify right side
    12,337.84x = 165,261,310.22
  5. Step 5: Solve for x
    x = 165,261,310.22/12,337.84
  6. Step 6: Final answer
    x = 13,394.67

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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.