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Finding the Fourth Proportional to 14,461.74, 21,667.84 and 9,709.02

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Solution

The fourth proportional to 14,461.74, 21,667.84 and 9,709.02 is: 14,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.74 : 21,667.84 = 9,709.02 : x
  2. Step 2: Convert to fraction form
    14,461.74/21,667.84 = 9,709.02/x
  3. Step 3: Cross multiply
    14,461.74x = 21,667.84 × 9,709.02
  4. Step 4: Simplify right side
    14,461.74x = 210,373,491.92
  5. Step 5: Solve for x
    x = 210,373,491.92/14,461.74
  6. Step 6: Final answer
    x = 14,546.90

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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.