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Finding the Fourth Proportional to 12,692.64, 17,516.32 and 6,950.48

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Solution

The fourth proportional to 12,692.64, 17,516.32 and 6,950.48 is: 9,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.64 : 17,516.32 = 6,950.48 : x
  2. Step 2: Convert to fraction form
    12,692.64/17,516.32 = 6,950.48/x
  3. Step 3: Cross multiply
    12,692.64x = 17,516.32 × 6,950.48
  4. Step 4: Simplify right side
    12,692.64x = 121,746,831.83
  5. Step 5: Solve for x
    x = 121,746,831.83/12,692.64
  6. Step 6: Final answer
    x = 9,591.92

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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.