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Finding the Fourth Proportional to 12,018.64, 16,585.82 and 6,713.88

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Solution

The fourth proportional to 12,018.64, 16,585.82 and 6,713.88 is: 9,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018.64 : 16,585.82 = 6,713.88 : x
  2. Step 2: Convert to fraction form
    12,018.64/16,585.82 = 6,713.88/x
  3. Step 3: Cross multiply
    12,018.64x = 16,585.82 × 6,713.88
  4. Step 4: Simplify right side
    12,018.64x = 111,355,205.18
  5. Step 5: Solve for x
    x = 111,355,205.18/12,018.64
  6. Step 6: Final answer
    x = 9,265.21

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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.