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Finding the Fourth Proportional to 12,904.32, 17,809.12 and 7,868.82

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Solution

The fourth proportional to 12,904.32, 17,809.12 and 7,868.82 is: 10,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.32 : 17,809.12 = 7,868.82 : x
  2. Step 2: Convert to fraction form
    12,904.32/17,809.12 = 7,868.82/x
  3. Step 3: Cross multiply
    12,904.32x = 17,809.12 × 7,868.82
  4. Step 4: Simplify right side
    12,904.32x = 140,136,759.64
  5. Step 5: Solve for x
    x = 140,136,759.64/12,904.32
  6. Step 6: Final answer
    x = 10,859.68

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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.