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Finding the Fourth Proportional to 25,900.86, 38,838.73 and 11,856.67

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Solution

The fourth proportional to 25,900.86, 38,838.73 and 11,856.67 is: 17,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.86 : 38,838.73 = 11,856.67 : x
  2. Step 2: Convert to fraction form
    25,900.86/38,838.73 = 11,856.67/x
  3. Step 3: Cross multiply
    25,900.86x = 38,838.73 × 11,856.67
  4. Step 4: Simplify right side
    25,900.86x = 460,498,004.83
  5. Step 5: Solve for x
    x = 460,498,004.83/25,900.86
  6. Step 6: Final answer
    x = 17,779.26

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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.