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Finding the Fourth Proportional to 12,047.22, 16,624.98 and 6,742.02

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Solution

The fourth proportional to 12,047.22, 16,624.98 and 6,742.02 is: 9,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.22 : 16,624.98 = 6,742.02 : x
  2. Step 2: Convert to fraction form
    12,047.22/16,624.98 = 6,742.02/x
  3. Step 3: Cross multiply
    12,047.22x = 16,624.98 × 6,742.02
  4. Step 4: Simplify right side
    12,047.22x = 112,085,947.66
  5. Step 5: Solve for x
    x = 112,085,947.66/12,047.22
  6. Step 6: Final answer
    x = 9,303.88

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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.