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Finding the Fourth Proportional to 23,653.68, 35,489.96 and 9,614.76

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Solution

The fourth proportional to 23,653.68, 35,489.96 and 9,614.76 is: 14,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.68 : 35,489.96 = 9,614.76 : x
  2. Step 2: Convert to fraction form
    23,653.68/35,489.96 = 9,614.76/x
  3. Step 3: Cross multiply
    23,653.68x = 35,489.96 × 9,614.76
  4. Step 4: Simplify right side
    23,653.68x = 341,227,447.81
  5. Step 5: Solve for x
    x = 341,227,447.81/23,653.68
  6. Step 6: Final answer
    x = 14,425.98

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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.