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Finding the Fourth Proportional to 14,880.76, 20,549.28 and 9,584.68

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Solution

The fourth proportional to 14,880.76, 20,549.28 and 9,584.68 is: 13,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,880.76 : 20,549.28 = 9,584.68 : x
  2. Step 2: Convert to fraction form
    14,880.76/20,549.28 = 9,584.68/x
  3. Step 3: Cross multiply
    14,880.76x = 20,549.28 × 9,584.68
  4. Step 4: Simplify right side
    14,880.76x = 196,958,273.03
  5. Step 5: Solve for x
    x = 196,958,273.03/14,880.76
  6. Step 6: Final answer
    x = 13,235.77

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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.