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Finding the Fourth Proportional to 27,856.04, 41,779.94 and 8,129.30

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Solution

The fourth proportional to 27,856.04, 41,779.94 and 8,129.30 is: 12,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.04 : 41,779.94 = 8,129.30 : x
  2. Step 2: Convert to fraction form
    27,856.04/41,779.94 = 8,129.30/x
  3. Step 3: Cross multiply
    27,856.04x = 41,779.94 × 8,129.30
  4. Step 4: Simplify right side
    27,856.04x = 339,641,666.24
  5. Step 5: Solve for x
    x = 339,641,666.24/27,856.04
  6. Step 6: Final answer
    x = 12,192.75

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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.