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Finding the Fourth Proportional to 17,856.83, 26,772.89 and 7,856.77

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Solution

The fourth proportional to 17,856.83, 26,772.89 and 7,856.77 is: 11,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.83 : 26,772.89 = 7,856.77 : x
  2. Step 2: Convert to fraction form
    17,856.83/26,772.89 = 7,856.77/x
  3. Step 3: Cross multiply
    17,856.83x = 26,772.89 × 7,856.77
  4. Step 4: Simplify right side
    17,856.83x = 210,348,438.97
  5. Step 5: Solve for x
    x = 210,348,438.97/17,856.83
  6. Step 6: Final answer
    x = 11,779.72

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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.