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Finding the Fourth Proportional to 18,570.94, 27,854.96 and 7,469.80

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Solution

The fourth proportional to 18,570.94, 27,854.96 and 7,469.80 is: 11,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,570.94 : 27,854.96 = 7,469.80 : x
  2. Step 2: Convert to fraction form
    18,570.94/27,854.96 = 7,469.80/x
  3. Step 3: Cross multiply
    18,570.94x = 27,854.96 × 7,469.80
  4. Step 4: Simplify right side
    18,570.94x = 208,070,980.21
  5. Step 5: Solve for x
    x = 208,070,980.21/18,570.94
  6. Step 6: Final answer
    x = 11,204.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.