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Finding the Fourth Proportional to 12,352.40, 17,035.54 and 9,961.69

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Solution

The fourth proportional to 12,352.40, 17,035.54 and 9,961.69 is: 13,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.40 : 17,035.54 = 9,961.69 : x
  2. Step 2: Convert to fraction form
    12,352.40/17,035.54 = 9,961.69/x
  3. Step 3: Cross multiply
    12,352.40x = 17,035.54 × 9,961.69
  4. Step 4: Simplify right side
    12,352.40x = 169,702,768.46
  5. Step 5: Solve for x
    x = 169,702,768.46/12,352.40
  6. Step 6: Final answer
    x = 13,738.45

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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.