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Finding the Fourth Proportional to 15,789.40, 23,667.90 and 9,212.20

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Solution

The fourth proportional to 15,789.40, 23,667.90 and 9,212.20 is: 13,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,789.40 : 23,667.90 = 9,212.20 : x
  2. Step 2: Convert to fraction form
    15,789.40/23,667.90 = 9,212.20/x
  3. Step 3: Cross multiply
    15,789.40x = 23,667.90 × 9,212.20
  4. Step 4: Simplify right side
    15,789.40x = 218,033,428.38
  5. Step 5: Solve for x
    x = 218,033,428.38/15,789.40
  6. Step 6: Final answer
    x = 13,808.85

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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.