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Finding the Fourth Proportional to 14,474.75, 21,701.68 and 9,783.14

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Solution

The fourth proportional to 14,474.75, 21,701.68 and 9,783.14 is: 14,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.75 : 21,701.68 = 9,783.14 : x
  2. Step 2: Convert to fraction form
    14,474.75/21,701.68 = 9,783.14/x
  3. Step 3: Cross multiply
    14,474.75x = 21,701.68 × 9,783.14
  4. Step 4: Simplify right side
    14,474.75x = 212,310,440.71
  5. Step 5: Solve for x
    x = 212,310,440.71/14,474.75
  6. Step 6: Final answer
    x = 14,667.65

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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.