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Finding the Fourth Proportional to 12,022.64, 16,592.02 and 6,717.86

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Solution

The fourth proportional to 12,022.64, 16,592.02 and 6,717.86 is: 9,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.64 : 16,592.02 = 6,717.86 : x
  2. Step 2: Convert to fraction form
    12,022.64/16,592.02 = 6,717.86/x
  3. Step 3: Cross multiply
    12,022.64x = 16,592.02 × 6,717.86
  4. Step 4: Simplify right side
    12,022.64x = 111,462,867.48
  5. Step 5: Solve for x
    x = 111,462,867.48/12,022.64
  6. Step 6: Final answer
    x = 9,271.08

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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.