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Finding the Fourth Proportional to 30,667.24, 45,991.13 and 9,885.88

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Solution

The fourth proportional to 30,667.24, 45,991.13 and 9,885.88 is: 14,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,667.24 : 45,991.13 = 9,885.88 : x
  2. Step 2: Convert to fraction form
    30,667.24/45,991.13 = 9,885.88/x
  3. Step 3: Cross multiply
    30,667.24x = 45,991.13 × 9,885.88
  4. Step 4: Simplify right side
    30,667.24x = 454,662,562.29
  5. Step 5: Solve for x
    x = 454,662,562.29/30,667.24
  6. Step 6: Final answer
    x = 14,825.68

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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.