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Finding the Fourth Proportional to 23,119.84, 34,679.80 and 7,538.72

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Solution

The fourth proportional to 23,119.84, 34,679.80 and 7,538.72 is: 11,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,119.84 : 34,679.80 = 7,538.72 : x
  2. Step 2: Convert to fraction form
    23,119.84/34,679.80 = 7,538.72/x
  3. Step 3: Cross multiply
    23,119.84x = 34,679.80 × 7,538.72
  4. Step 4: Simplify right side
    23,119.84x = 261,441,301.86
  5. Step 5: Solve for x
    x = 261,441,301.86/23,119.84
  6. Step 6: Final answer
    x = 11,308.09

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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.