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Finding the Fourth Proportional to 11,785.30, 17,714.40 and 11,566.60

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Solution

The fourth proportional to 11,785.30, 17,714.40 and 11,566.60 is: 17,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.30 : 17,714.40 = 11,566.60 : x
  2. Step 2: Convert to fraction form
    11,785.30/17,714.40 = 11,566.60/x
  3. Step 3: Cross multiply
    11,785.30x = 17,714.40 × 11,566.60
  4. Step 4: Simplify right side
    11,785.30x = 204,895,379.04
  5. Step 5: Solve for x
    x = 204,895,379.04/11,785.30
  6. Step 6: Final answer
    x = 17,385.67

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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.