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Finding the Fourth Proportional to 23,856.76, 35,785.14 and 7,440.76

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Solution

The fourth proportional to 23,856.76, 35,785.14 and 7,440.76 is: 11,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.76 : 35,785.14 = 7,440.76 : x
  2. Step 2: Convert to fraction form
    23,856.76/35,785.14 = 7,440.76/x
  3. Step 3: Cross multiply
    23,856.76x = 35,785.14 × 7,440.76
  4. Step 4: Simplify right side
    23,856.76x = 266,268,638.31
  5. Step 5: Solve for x
    x = 266,268,638.31/23,856.76
  6. Step 6: Final answer
    x = 11,161.14

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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.