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Finding the Fourth Proportional to 23,607.56, 35,402.37 and 7,807.86

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Solution

The fourth proportional to 23,607.56, 35,402.37 and 7,807.86 is: 11,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,607.56 : 35,402.37 = 7,807.86 : x
  2. Step 2: Convert to fraction form
    23,607.56/35,402.37 = 7,807.86/x
  3. Step 3: Cross multiply
    23,607.56x = 35,402.37 × 7,807.86
  4. Step 4: Simplify right side
    23,607.56x = 276,416,748.63
  5. Step 5: Solve for x
    x = 276,416,748.63/23,607.56
  6. Step 6: Final answer
    x = 11,708.83

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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.