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Finding the Fourth Proportional to 8,814.30, 13,192.65 and 8,814.30

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Solution

The fourth proportional to 8,814.30, 13,192.65 and 8,814.30 is: 13,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.30 : 13,192.65 = 8,814.30 : x
  2. Step 2: Convert to fraction form
    8,814.30/13,192.65 = 8,814.30/x
  3. Step 3: Cross multiply
    8,814.30x = 13,192.65 × 8,814.30
  4. Step 4: Simplify right side
    8,814.30x = 116,283,974.90
  5. Step 5: Solve for x
    x = 116,283,974.90/8,814.30
  6. Step 6: Final answer
    x = 13,192.65

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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.