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Finding the Fourth Proportional to 17,237.76, 25,856.76 and 7,875.84

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Solution

The fourth proportional to 17,237.76, 25,856.76 and 7,875.84 is: 11,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,237.76 : 25,856.76 = 7,875.84 : x
  2. Step 2: Convert to fraction form
    17,237.76/25,856.76 = 7,875.84/x
  3. Step 3: Cross multiply
    17,237.76x = 25,856.76 × 7,875.84
  4. Step 4: Simplify right side
    17,237.76x = 203,643,704.68
  5. Step 5: Solve for x
    x = 203,643,704.68/17,237.76
  6. Step 6: Final answer
    x = 11,813.81

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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.