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Finding the Fourth Proportional to 13,563.90, 20,329.65 and 5,666.40

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Solution

The fourth proportional to 13,563.90, 20,329.65 and 5,666.40 is: 8,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.90 : 20,329.65 = 5,666.40 : x
  2. Step 2: Convert to fraction form
    13,563.90/20,329.65 = 5,666.40/x
  3. Step 3: Cross multiply
    13,563.90x = 20,329.65 × 5,666.40
  4. Step 4: Simplify right side
    13,563.90x = 115,195,928.76
  5. Step 5: Solve for x
    x = 115,195,928.76/13,563.90
  6. Step 6: Final answer
    x = 8,492.83

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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.