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Finding the Fourth Proportional to 12,017.59, 16,584.53 and 6,712.41

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Solution

The fourth proportional to 12,017.59, 16,584.53 and 6,712.41 is: 9,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.59 : 16,584.53 = 6,712.41 : x
  2. Step 2: Convert to fraction form
    12,017.59/16,584.53 = 6,712.41/x
  3. Step 3: Cross multiply
    12,017.59x = 16,584.53 × 6,712.41
  4. Step 4: Simplify right side
    12,017.59x = 111,322,165.02
  5. Step 5: Solve for x
    x = 111,322,165.02/12,017.59
  6. Step 6: Final answer
    x = 9,263.27

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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.