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Finding the Fourth Proportional to 14,667.84, 20,246.20 and 9,894.70

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Solution

The fourth proportional to 14,667.84, 20,246.20 and 9,894.70 is: 13,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.84 : 20,246.20 = 9,894.70 : x
  2. Step 2: Convert to fraction form
    14,667.84/20,246.20 = 9,894.70/x
  3. Step 3: Cross multiply
    14,667.84x = 20,246.20 × 9,894.70
  4. Step 4: Simplify right side
    14,667.84x = 200,330,075.14
  5. Step 5: Solve for x
    x = 200,330,075.14/14,667.84
  6. Step 6: Final answer
    x = 13,657.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.